What is the answer to x^2-2|x|-2=1 ?

The answer to x^2-2|x|-2=1 is x=-3\lor x=3

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x^2-2|x|-2=1

x^{2} - 2 ∣ x ∣ - 2 = 1

x = - 3 or x = 3

Solution steps

x^{2} - 2 ∣ x ∣ - 2 = 1

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 3 or x = 3

7 ∣ x - 2 ∣ - ∣ x - 7 ∣ = 5

x^{2} + ∣ x - 1 ∣ = 1

∣ x - 4 ∣ - ∣ x + 4 ∣ = 8

∣ 12 + 3 b ∣ = - 3

∣ x ∣ + ∣ x + 1 ∣ = 1