What is the answer to solvefor y,5sqrt(xy)-2sqrt(y)-3sqrt(x)=0 ?

The answer to solvefor y,5sqrt(xy)-2sqrt(y)-3sqrt(x)=0 is

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solvefor y,5sqrt(xy)-2sqrt(y)-3sqrt(x)=0

solve for

y, 5 x y - 2 y - 3 x = 0

y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0 or x > \frac{4}{25}}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0}

Solution steps

5 x y - 2 y - 3 x = 0

Remove square roots

625 y^{2} x^{2} - 450 y x^{2} - 200 y^{2} x + 81 x^{2} + 72 y x + 16 y^{2} = 144 y x

Solve

625 y^{2} x^{2} - 450 y x^{2} - 200 y^{2} x + 81 x^{2} + 72 y x + 16 y^{2} = 144 y x : y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16}

y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16}

Verify Solutions:

y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0 or x > \frac{4}{25}}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0}

The solutions are

y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0 or x > \frac{4}{25}}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0}

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

x - 1 + x - 7 = 2 x - 3

x - 2 = x - 2

9 x + 63 = x + 7

What is the answer to solvefor y,5sqrt(xy)-2sqrt(y)-3sqrt(x)=0 ?
The answer to solvefor y,5sqrt(xy)-2sqrt(y)-3sqrt(x)=0 is