- #1
Andrax
- 117
- 0
Homework Statement
x y and z are real numbers
solve in lR
(1+4x^2)y=4z^2
(1+4y^2)z=4x^2
(1+4z^2)x=4y^22. The attempt at a solution
(1+4x^2)y(1+4y^2)z(1+4z^2)x=64x^2y^2z^2(x and y and z =/=0)
([itex]\frac{1}{4}[/itex]+x^2)([itex]\frac{1}{4}[/itex]+y^2)([itex]\frac{1}{4}[/itex]+z^2)=xyz
now i can tell from this that (1/2,1/2,1/2)(suppose that x=y=z solves this also (0,0,0,) is a solution)
but I'm really stuck here i thought this problem would be easy i need help