What is the answer to solvefor x,x+y=3sqrt(xy) ?

The answer to solvefor x,x+y=3sqrt(xy) is x=(7y+3sqrt(5)y)/2 {y>= 0},x=(7y-3sqrt(5)y)/2 {y>= 0}

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solvefor x,x+y=3sqrt(xy)

solve for

x, x + y = 3 x y

x = \frac{7 y + 3 5 y}{2} {y \geq 0}, x = \frac{7 y - 3 5 y}{2} {y \geq 0}

Solution steps

x + y = 3 x y

Square both sides:

x^{2} + 2 x y + y^{2} = 9 x y

x^{2} + 2 x y + y^{2} = 9 x y

Solve

x^{2} + 2 x y + y^{2} = 9 x y : x = \frac{7 y + 3 5 y}{2}, x = \frac{7 y - 3 5 y}{2}

x = \frac{7 y + 3 5 y}{2}, x = \frac{7 y - 3 5 y}{2}

Verify Solutions:

x = \frac{7 y + 3 5 y}{2} {y \geq 0}, x = \frac{7 y - 3 5 y}{2} {y \geq 0}

The solutions are

x = \frac{7 y + 3 5 y}{2} {y \geq 0}, x = \frac{7 y - 3 5 y}{2} {y \geq 0}

x + 3 = 4 x + 8

x + 8 = 7

k - 6 = 3 k - 14

0 = x - 5

x + 3 x = 10

What is the answer to solvefor x,x+y=3sqrt(xy) ?
The answer to solvefor x,x+y=3sqrt(xy) is x=(7y+3sqrt(5)y)/2 {y>= 0},x=(7y-3sqrt(5)y)/2 {y>= 0}