What are the solutions to the equation solvefor x, x/y =(x^2)/(y^2) ?

The solutions to the equation solvefor x, x/y =(x^2)/(y^2) are x=y,x=0

Find the zeros of solvefor x, x/y =(x^2)/(y^2)

The zeros of solvefor x, x/y =(x^2)/(y^2) are x=y,x=0

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solve for

x, \frac{x}{y} = \frac{x ^{2}}{y ^{2}}

x = y, x = 0

Solution steps

\frac{x}{y} = \frac{x ^{2}}{y ^{2}}

Find Least Common Multiplier of

y, y^{2} : y^{2}

Multiply by LCM=

y^{2}

\frac{x}{y} y^{2} = \frac{x ^{2}}{y ^{2}} y^{2}; y \neq = 0

Simplify

x y = x^{2}; y \neq = 0

Switch sides

x^{2} = x y; y \neq = 0

Move

x y

to the left side

x^{2} - x y = 0; y \neq = 0

Write in the standard form

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

x^{2} - y x = 0; y \neq = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - y ) \pm ( - y ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

Simplify

(- y)^{2} - 4 \cdot 1 \cdot 0 : y

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

Separate the solutions

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

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

x = \frac{- ( - y ) - y}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

x = y, x = 0

6 x - 1 \cdot 6 x \cdot 6 x + 2 = 11296

\frac{4}{3} p^{2} - 1 = 0

3 x^{2} - 22 x + 36 = 0

x^{2} + \frac{8 x}{3} - 1 = 0

t^{2} - t - 6 = - 6

What are the solutions to the equation solvefor x, x/y =(x^2)/(y^2) ?
The solutions to the equation solvefor x, x/y =(x^2)/(y^2) are x=y,x=0
Find the zeros of solvefor x, x/y =(x^2)/(y^2)
The zeros of solvefor x, x/y =(x^2)/(y^2) are x=y,x=0