Solving Numerically the System: x^2+y^2=1 and xy=1/2

[wuyaosi]

Hi,

I am looking for the code of Matlab which can led me to solve numerically this system
x^2+y^2=1
xy= 1/2


I want to write a programm which can be able to solve numerically the above syatem


Thanks in advance

 

[mXSCNT]

You can solve it exactly. If you don't see the answer by inspection, try y=1/(2x), so x^2 + 1/(4x^2) = 1, so z^2 - z + 1/4 = 0, where z = x^2.

 

[quicknote]

for your help!

Hi there,

There are a few different ways you could approach solving this system numerically using Matlab. One option would be to use the fsolve function, which is designed for solving systems of nonlinear equations. You would need to define a function that represents your system of equations, then use fsolve to find the numerical solution.

Another option would be to use the solve function, which is designed for symbolic math. This would allow you to find an exact solution, rather than a numerical one. However, it may be more computationally intensive and may not give a solution in certain cases.

I would suggest doing some research on these functions and experimenting with them to see which approach works best for your specific system of equations. Additionally, there may be other functions or methods that could be used to solve this system numerically, so it would be worth exploring different options and comparing their results.

I hope this helps and good luck with your programming!