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

The solutions to the equation x^2= x/2 are x= 1/2 ,x=0

Find the zeros of x^2= x/2

The zeros of x^2= x/2 are x= 1/2 ,x=0

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

x = \frac{1}{2}, x = 0

Decimal

x = 0.5, x = 0

Solution steps

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

Multiply both sides by

2

2 x^{2} = x

Move

x

to the left side

2 x^{2} - x = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = \frac{1}{2}, x = 0

x^{2} + 24 = 10 x

x^{2} + 3 x - 68 = 3 x - 4

6 t (t + 3) = t - 5

16 (5 - 2 x)^{2} + 33 = 42

- s^{2} - 2 s + 5 = 0

What are the solutions to the equation x^2= x/2 ?
The solutions to the equation x^2= x/2 are x= 1/2 ,x=0
Find the zeros of x^2= x/2
The zeros of x^2= x/2 are x= 1/2 ,x=0