What is the answer to solvefor x,x+y=sqrt(5xy) ?

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

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solvefor x,x+y=sqrt(5xy)

solve for

x, x + y = 5 x y

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

Solution steps

x + y = 5 x y

Square both sides:

x^{2} + 2 x y + y^{2} = 5 x y

x^{2} + 2 x y + y^{2} = 5 x y

Solve

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

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

Verify Solutions:

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

The solutions are

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

- x + 1 = - x - 1

x + 3 = \frac{1}{2} x + 3

4 - 4 x = x + 7

y = \frac{y}{3}

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