What are the solutions to the equation solvefor x,x^2-2xy-2y^2=0 ?

The solutions to the equation solvefor x,x^2-2xy-2y^2=0 are x=(1+sqrt(3))y,x=(1-sqrt(3))y

Find the zeros of solvefor x,x^2-2xy-2y^2=0

The zeros of solvefor x,x^2-2xy-2y^2=0 are x=(1+sqrt(3))y,x=(1-sqrt(3))y

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solve for

x, x^{2} - 2 x y - 2 y^{2} = 0

x = (1 + 3) y, x = (1 - 3) y

Solution steps

x^{2} - 2 x y - 2 y^{2} = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 2 y x - 2 y^{2} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 2 y ) \pm ( - 2 y ) ^{2} - 4 \cdot 1 \cdot ( - 2 y ^{2} )}{2 \cdot 1}

Simplify

(- 2 y)^{2} - 4 \cdot 1 \cdot (- 2 y^{2}) : 23 y

x_{1, 2} = \frac{- ( - 2 y ) \pm 2 3 y}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 2 y ) + 2 3 y}{2 \cdot 1}, x_{2} = \frac{- ( - 2 y ) - 2 3 y}{2 \cdot 1}

x = \frac{- ( - 2 y ) + 2 3 y}{2 \cdot 1} : (1 + 3) y

x = \frac{- ( - 2 y ) - 2 3 y}{2 \cdot 1} : (1 - 3) y

The solutions to the quadratic equation are:

x = (1 + 3) y, x = (1 - 3) y

5 x^{2} + 6 x - 10 = 3 x^{2} + 8 x + 14

400 x^{2} + 90000 = 360000

9 (x - 2)^{2} = 36

0 = x (x - 2) - 3

50 = 50 + 2 t - 0.0625 t^{2}

What are the solutions to the equation solvefor x,x^2-2xy-2y^2=0 ?
The solutions to the equation solvefor x,x^2-2xy-2y^2=0 are x=(1+sqrt(3))y,x=(1-sqrt(3))y
Find the zeros of solvefor x,x^2-2xy-2y^2=0
The zeros of solvefor x,x^2-2xy-2y^2=0 are x=(1+sqrt(3))y,x=(1-sqrt(3))y