Roots of a nonlinear equations system

I’m trying to solve a nonlinear equations system that works with symbolic variables

I have found some solutions that require turning the symbolic variables to indexed variables (x changes to x(1), y changes to x(2)) but I don’t know how to do that.

Can someone please help me? Also if you have any suggestion for finding the roots of the equations I would appreciate it.

[John D'Errico]

Unless you can be more specific, it is difficult to help you.

[Cynthia Lilian]

I have the following equations system where x&y are symbolic variables

And I want to find the solution to it.

Some solutions I've found show how to solve it when the system is in terms of a single variable, so my system would be

But I don't know how to change the system I have to the system I need.

Answer 1

[Star Strider]

Use the solve function —

syms x y 
fcn = [-4*y^2 + 4*x - 4 == 0; 16*y^2 - 8*x*y ==0]

fcn = 

S = solve(fcn)

S = struct with fields:
    x: [2×1 sym]
    y: [2×1 sym]

x = S.x

x = 

y = S.y

y = 

.

[Cynthia Lilian]

Thank you so much!

[Star Strider]

My pleasure!

If my Answer helped you solve your problem, please Accept it!

.