What is the answer to solvefor y,sqrt(xy)=x-2y ?

The answer to solvefor y,sqrt(xy)=x-2y is y=x {x = 0}

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solvefor y,sqrt(xy)=x-2y

solve for

y, x y = x - 2 y

y = x {x \leq 0}, y = \frac{x}{4} {x \geq 0}

Solution steps

x y = x - 2 y

Square both sides:

x y = x^{2} - 4 y x + 4 y^{2}

x y = x^{2} - 4 y x + 4 y^{2}

Solve

x y = x^{2} - 4 y x + 4 y^{2} : y = x, y = \frac{x}{4}

y = x, y = \frac{x}{4}

Verify Solutions:

y = x {x \leq 0}, y = \frac{x}{4} {x \geq 0}

The solutions are

y = x {x \leq 0}, y = \frac{x}{4} {x \geq 0}

x + 9 = x - 1

y, y = x

15 x^{\frac{2}{3}} - 10 x = 0

\frac{2}{x ^{\frac{1}{3}}} - 1 = 0

3 - 2 v + 17 = 20

What is the answer to solvefor y,sqrt(xy)=x-2y ?
The answer to solvefor y,sqrt(xy)=x-2y is y=x {x<= 0},y= x/4 {x>= 0}