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

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

Find the zeros of (x^2)/2 =x

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

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

x = 2, x = 0

Solution steps

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

Multiply both sides by

2

x^{2} = 2 x

Move

2 x

to the left side

x^{2} - 2 x = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 2, x = 0

- 2 x^{2} = - 72

x^{2} - 4 x - 7

8 - x^{2} = 2 x

y - y^{2} = y^{2} - 3

y^{2} = - 16 y

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