How to write a system on nonlinear equations?

Forgive me if this has already been asked, but I'm trying to find out how to write a system on nonlinear equations as a function in MATLAB

for example:

a*(x(i))^2 + x(i-1) - x(i) = 0

How would I write this for any given size of x without writing the equations manually?

Would it be something like the following:

function y = myFunction(x)

y = a*(x(i))^2 + x(i-1) - x(i)

end

Answer 1

[Shadaab Siddiqie]

From my understanding you want to solve nonlinear equations. You can refer fsolve for more information.