What are the solutions to the equation (x^2)/5 =x ?

The solutions to the equation (x^2)/5 =x are x=5,x=0

Find the zeros of (x^2)/5 =x

The zeros of (x^2)/5 =x are x=5,x=0

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\frac{x ^{2}}{5} = x

x = 5, x = 0

Solution steps

\frac{x ^{2}}{5} = x

Multiply both sides by

5

x^{2} = 5 x

Move

5 x

to the left side

x^{2} - 5 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 5)^{2} - 4 \cdot 1 \cdot 0 = 5

x_{1, 2} = \frac{- ( - 5 ) \pm 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 5}{2 \cdot 1}, x_{2} = \frac{- ( - 5 ) - 5}{2 \cdot 1}

x = \frac{- ( - 5 ) + 5}{2 \cdot 1} : 5

x = \frac{- ( - 5 ) - 5}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

x = 5, x = 0

- 2 x^{2} + 6 x - 8 = 0

x^{2} - x + 64 = 0

3 x^{2} - 6 x - 5 = 0

1 - x + 0.25 x^{2} = 0

6 x^{2} - 23 x = 0

What are the solutions to the equation (x^2)/5 =x ?
The solutions to the equation (x^2)/5 =x are x=5,x=0
Find the zeros of (x^2)/5 =x
The zeros of (x^2)/5 =x are x=5,x=0