What is the answer to |x^2|=5x ?

The answer to |x^2|=5x is x=0\lor x=5

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|x^2|=5x

x^{2} = 5 x

x = 0 or x = 5

Solution steps

x^{2} = 5 x

Find positive and negative intervals

- \infty < x < \infty

Solve the inequality for each interval

(x = 0 or x = 5)

x = 0 or x = 5

- 5 ∣ - 8 m + 1 ∣ + 7 = 7

4 ∣ x + 5 ∣ = 24

0 = 4 - x^{2}

∣ 3 x + 5 ∣ = 6 x + 10

\frac{1}{3} ∣ x + 7 ∣ = 9