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

The answer to x^2=|x| is x=-1\lor x=0\lor x=1

The solution is x=-1\lor x=0\lor x=1

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x^2=|x|

x^{2} = ∣ x ∣

x = - 1 or x = 0 or x = 1

Solution steps

x^{2} = ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 1 or (x = 0 or x = 1)

x = - 1 or x = 0 or x = 1

a = ∣ 2 x - 1 ∣ + 2

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

∣ 11 x + 22 ∣ + ∣ 3 x - 1 ∣ = 6 x + 6

x^{2} - 3 \cdot x ∣ 2 ∣ = x^{2} - 2 x

2 ∣ x + 1 ∣ + ∣ x - 2 ∣ = 5