Express in terms of y y

Algebra Level 1

If x 0 x\neq 0 and x = 4 x y 4 y 2 x=\sqrt{4xy-4y^2} , then express x x in terms of y y .

2 y -2y 2 y 2y 4 y 2 1 2 y \dfrac{-4y^2}{1-2y} y 2 \dfrac{y}{2}

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1 solution

Blcraft Gaming
Feb 22, 2018

x = 4 x y 4 y 2 x=\sqrt{4xy-4y^2} x 2 = 4 x y 4 y 2 x^2=4xy-4y^2 x 2 4 x y + 4 y 2 = 0 x^2-4xy+4y^2=0 ( x 2 y ) 2 = 0 (x-2y)^2=0 x 2 y = 0 x-2y=0 x = 2 y \boxed{x=2y}

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