solve the following nonlinear algebraic equations simultaneously using symbolic equations 3*x^3 + x^2 -1 = 0 x^4 - 10*x^2 + 2 = 0 in matlab

In MATLAB, you can solve the given nonlinear algebraic equations simultaneously using symbolic equations.

Here's how you can do it:

main.m
% Define the symbolic variables
syms x

% Define the equations
eq1 = 3*x^3 + x^2 - 1 == 0;
eq2 = x^4 - 10*x^2 + 2 == 0;

% Solve the equations
sol = solve([eq1, eq2], x);

% Display the solutions
x_sol = double(sol);
disp(x_sol)
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The syms function is used to define x as a symbolic variable. Then, the two nonlinear equations are defined using the == operator. The solve function is used to solve the equations simultaneously. Finally, double is used to convert the symbolic solutions to double precision and disp is used to display the solutions.

By running this code, you will get the numerical solutions to the equations.