What is the answer to x^2-|x|-2=0 ?

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

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x^2-|x|-2=0

x^{2} - ∣ x ∣ - 2 = 0

x = - 2 or x = 2

Solution steps

x^{2} - ∣ x ∣ - 2 = 0

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 2 or x = 2

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

∣ x - 3 ∣ + ∣ 4 - x ∣ = 1

∣ x + 2 ∣ = 2 (3 - x)

∣ x - 1 ∣ + ∣ x - 3 ∣ = 2

(x + 1) (∣ x ∣ - 1) = \frac{- 1}{2}