SOLUTION: -1 x ___ -2 -2 x + y

Algebra ->  Rational-functions -> SOLUTION: -1 x ___ -2 -2 x + y      Log On


   

Question 646824: -1
x
___
-2 -2
x + y
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-1
x
___
-2 -2
x + y
------------------
(1/x)/[(1/x^2) + (1/y^2)]
-----
= (1/x)/[(y^2+x^2)/(x^2y^2)]
-----
Invert the denominator and multiply to get:
= (1/x)/[(x^2y^2/(y^2+x^2)]
-----
Cancel where you can to get
= (xy^2/(y^2+x^2)
-----
Cheers,
Stan H.

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
I guess you have this:
x%5E-1%2F%28x%5E-2%2By%5E-2%29

=%281%2Fx%29%2F%28%281%2Fx%5E2%29%2B%281%2Fy%5E2%29%29

=%281%2Fx%29%2F%28%28y%5E2%2Bx%5E2%29%2F%28y%5E2%2Ax%5E2%29%29%29

=%28y%5E2%2Ax%5E2%29%2F%28x%28y%5E2%2Bx%5E2%29%29

=%28y%5E2%2Ax%5Ecross%282%29%29%2F%28cross%28x%29%28y%5E2%2Bx%5E2%29%29


=%28y%5E2%2Ax%29%2F%28y%5E2%2Bx%5E2%29%29


roots:
x=0 , y≠ 0
y=0 x≠ 0