What are the solutions to the equation (x^2)/2 =(2x)/4 ?

The solutions to the equation (x^2)/2 =(2x)/4 are x=1,x=0

Find the zeros of (x^2)/2 =(2x)/4

The zeros of (x^2)/2 =(2x)/4 are x=1,x=0

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\frac{x ^{2}}{2} = \frac{2 x}{4}

x = 1, x = 0

Solution steps

\frac{x ^{2}}{2} = \frac{2 x}{4}

Find Least Common Multiplier of

2, 4 : 4

Multiply by LCM=

4

\frac{x ^{2}}{2} \cdot 4 = \frac{2 x}{4} \cdot 4

Simplify

2 x^{2} = 2 x

Move

2 x

to the left side

2 x^{2} - 2 x = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 1, x = 0

12 = 10 t + \frac{1}{2} (- 3.7) t^{2}

y, x^{2} y = 5

- 5 x^{2} + 9 x - 3 = 0

x^{2} = 14 x - 40

39 = 113 t - 16 t^{2}

What are the solutions to the equation (x^2)/2 =(2x)/4 ?
The solutions to the equation (x^2)/2 =(2x)/4 are x=1,x=0
Find the zeros of (x^2)/2 =(2x)/4
The zeros of (x^2)/2 =(2x)/4 are x=1,x=0