Finding the Roots of Multiple Equations

I'm trying to figure out how to get started on a homework problem.

The exact question is stated:

Write a Matlab code that finds a root (intersection) of the following three equations representing 1) a sphere with a radius of 1, 2) a cylinder with radius of ½ around the x2 axis, and 3) a paraboloid around the x3 axis. Establish a tolerance for the solution that you believe is appropriate.

F1 = x1^2 + x2^2 + x3^2 - 1

F2 = x1^2 + x3^2 + (1/4)

F3 = x1^2 + x2^2 - 4*x3^2

Answer 1

[Ameer Hamza]

See fsolve(): https://www.mathworks.com/help/optim/ug/fsolve.html from Optimization toolbox to solve these equation.

[Mercury_80]

Thank you! That was helpful.

[Ameer Hamza]

I am glad to be of help!!!