What is the answer to solvefor x,x+4sqrt(xy)+2y=a ?

The answer to solvefor x,x+4sqrt(xy)+2y=a is x=6y+a+4sqrt(y(2y+a)),x=6y+a-4sqrt(y(2y+a))

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solvefor x,x+4sqrt(xy)+2y=a

solve for

x, x + 4 x y + 2 y = a

x = 6 y + a + 4 y (2 y + a), x = 6 y + a - 4 y (2 y + a)

Solution steps

x + 4 x y + 2 y = a

Remove square roots

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

Solve

16 x y = - 4 a y + 4 x y + 4 y^{2} + a^{2} - 2 a x + x^{2} : x = 6 y + a + 4 y (2 y + a), x = 6 y + a - 4 y (2 y + a)

x = 6 y + a + 4 y (2 y + a), x = 6 y + a - 4 y (2 y + a)

x, 3 x - 11 x - 4 = 0

12 x + 24 = 6 x

2 = \frac{n}{7}

5 + x - 4 x + 9 = - 2

What is the answer to solvefor x,x+4sqrt(xy)+2y=a ?
The answer to solvefor x,x+4sqrt(xy)+2y=a is x=6y+a+4sqrt(y(2y+a)),x=6y+a-4sqrt(y(2y+a))