SOLUTION: Express X in terms of y 3y=SquareRootOf2(1-2x/x+1)

Algebra ->  Expressions-with-variables -> SOLUTION: Express X in terms of y 3y=SquareRootOf2(1-2x/x+1)      Log On


   

Question 449937: Express X in terms of y
3y=SquareRootOf2(1-2x/x+1)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3y=SquareRootOf2(1-2x/x+1)
:
Assume the problem is:
3y = sqrt%282%28%281-2x%29%2F%28x%2B1%29%29%29
Square both sides
(3y)^2 = 2%28%281-2x%29%2F%28x%2B1%29%29
:
9y^2 = 2%28%281-2x%29%2F%28x%2B1%29%29
:
Multiply both sides by (x+1)
9y^2(x+1) = 2(1-2x)
:
9xy^2 + 9y^2 = 2 - 4x
:
9xy^2 + 9y^2 + 4x = 2
:
9xy^2 + 4x = -9y^2 + 2
;
Factor out x
x(9y^2 + 4) = -9y^2 + 2
:
divide both sides by (9y^2+4)
x = %28%28-9y%5E2%2B2%29%29%2F%28%289y%5E2%2B4%29%29