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

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

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

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

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

x = 4, x = 0

Solution steps

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

Multiply both sides by

4

4 x = x^{2}

Switch sides

x^{2} = 4 x

Move

4 x

to the left side

x^{2} - 4 x = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 4}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 4}{2 \cdot 1}

x = \frac{- ( - 4 ) + 4}{2 \cdot 1} : 4

x = \frac{- ( - 4 ) - 4}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

x = 4, x = 0

3 x^{2} + 6 = - 9 x

2 x^{2} + 4 x + 20 = 0

4 x^{2} - 9 = 9 x

x^{2} - 9 x + 17 = 0

y, f = 3 x^{3} - 2 x y + 5 y^{2}

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