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

The answer to solvefor y,sqrt(x+y)=xy is No Solution for y\in\mathbb{R}

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solvefor y,sqrt(x+y)=xy

solve for

y, x + y = x y

No Solution for y \in R

Solution steps

x + y = x y

Square both sides:

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

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

Solve

x + y = y^{2} x^{2} : y = \frac{1 + 1 + 4 x ^{3}}{2 x ^{2}}, y = \frac{1 - 1 + 4 x ^{3}}{2 x ^{2}}

y = \frac{1 + 1 + 4 x ^{3}}{2 x ^{2}}, y = \frac{1 - 1 + 4 x ^{3}}{2 x ^{2}}

Verify Solutions:

y = \frac{1 + 1 + 4 x ^{3}}{2 x ^{2}}

False

, y = \frac{1 - 1 + 4 x ^{3}}{2 x ^{2}}

False

The solution is

No Solution for y \in R

2 x^{\frac{1}{2}} - x^{\frac{1}{4}} = 0

y, x + y = 100

x = 8

x - 2 + x + 6 = 4

- x^{2} + 3 x - 2 = 4

What is the answer to solvefor y,sqrt(x+y)=xy ?
The answer to solvefor y,sqrt(x+y)=xy is No Solution for y\in\mathbb{R}