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1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003einput = [6 8 7 9 12 467];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003emeans\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"257.5\" height=\"20\" style=\"width: 257.5px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ea possible solution is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20px; transform-origin: 404px 20px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ex = -2.628054656;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eg(x) = -5.665150411005015e-07\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function x = quintic(coeffs)\r\n\r\nend","test_suite":"%%\r\ncoeffs = [6 8 7 9 12 467];\r\ncandidateX = quintic(coeffs);\r\nassert(isreal(candidateX))\r\nassert(abs(sum(coeffs.*(candidateX.^(5:-1:0)))-0)\u003c0.0001)\r\n%%\r\ncoeffs = [4 6 7 8 2 1];\r\ncandidateX = quintic(coeffs);\r\nassert(isreal(candidateX))\r\nassert(abs(sum(coeffs.*(candidateX.^(5:-1:0)))-0)\u003c0.0001)\r\n%%\r\nfor idx = 1:10\r\ncoeffs = randi([1 50],1,6);\r\ncandidateX = quintic(coeffs);\r\nassert(isreal(candidateX))\r\nassert(abs(sum(coeffs.*(candidateX.^(5:-1:0)))-0)\u003c0.0001)\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":8703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":"2020-11-19T10:27:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-11-19T10:11:50.000Z","updated_at":"2026-03-24T11:51:45.000Z","published_at":"2020-11-19T10:13:27.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x) = ax^5 + bx^4 + cx^3 +dx^2 + e^x + f\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[input = [a b c d e f];\\n]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[input = [6 8 7 9 12 467];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003emeans\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x) = 6x^5+8x^4+7x^3+9x^2+12x+467\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea possible solution is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[x = -2.628054656;\\ng(x) = -5.665150411005015e-07]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":47563,"title":"Find a real root of a quintic function","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 273px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 136.5px; transform-origin: 407px 136.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"234.5\" height=\"20\" style=\"width: 234.5px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20px; transform-origin: 404px 20px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003einput = [a b c d e f];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10px; transform-origin: 404px 10px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003einput = [6 8 7 9 12 467];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003emeans\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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width=\"257.5\" height=\"20\" style=\"width: 257.5px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ea possible solution is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20px; transform-origin: 404px 20px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ex = -2.628054656;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10px; transform-origin: 404px 10px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eg(x) = -5.665150411005015e-07\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function x = quintic(coeffs)\r\n\r\nend","test_suite":"%%\r\ncoeffs = [6 8 7 9 12 467];\r\ncandidateX = quintic(coeffs);\r\nassert(isreal(candidateX))\r\nassert(abs(sum(coeffs.*(candidateX.^(5:-1:0)))-0)\u003c0.0001)\r\n%%\r\ncoeffs = [4 6 7 8 2 1];\r\ncandidateX = quintic(coeffs);\r\nassert(isreal(candidateX))\r\nassert(abs(sum(coeffs.*(candidateX.^(5:-1:0)))-0)\u003c0.0001)\r\n%%\r\nfor idx = 1:10\r\ncoeffs = randi([1 50],1,6);\r\ncandidateX = quintic(coeffs);\r\nassert(isreal(candidateX))\r\nassert(abs(sum(coeffs.*(candidateX.^(5:-1:0)))-0)\u003c0.0001)\r\nend","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":8703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":"2020-11-19T10:27:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-11-19T10:11:50.000Z","updated_at":"2026-03-24T11:51:45.000Z","published_at":"2020-11-19T10:13:27.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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467];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003emeans\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg(x) = 6x^5+8x^4+7x^3+9x^2+12x+467\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea possible solution is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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