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.