What is the answer to solvefor x,x+y=16+sqrt(4xy) ?

The answer to solvefor x,x+y=16+sqrt(4xy) is x=y+16+8sqrt(y),x=y+16-8sqrt(y)

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solvefor x,x+y=16+sqrt(4xy)

solve for

x, x + y = 16 + 4 x y

x = y + 16 + 8 y, x = y + 16 - 8 y

Solution steps

x + y = 16 + 4 x y

Remove square roots

2 x y + y^{2} - 32 y + x^{2} - 32 x + 256 = 4 x y

Solve

2 x y + y^{2} - 32 y + x^{2} - 32 x + 256 = 4 x y : x = y + 16 + 8 y, x = y + 16 - 8 y

x = y + 16 + 8 y, x = y + 16 - 8 y

Verify Solutions:

x = y + 16 + 8 y

True

, x = y + 16 - 8 y

True

The solutions are

x = y + 16 + 8 y, x = y + 16 - 8 y

63 - 7 b - b = - 9

t + 4 = t + 6

(\frac{2}{a})^{6} = 64

What is the answer to solvefor x,x+y=16+sqrt(4xy) ?
The answer to solvefor x,x+y=16+sqrt(4xy) is x=y+16+8sqrt(y),x=y+16-8sqrt(y)