What is the answer to x^2-2|x|=8 ?

The answer to x^2-2|x|=8 is x=-4\lor x=4

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x^2-2|x|=8

x^{2} - 2 ∣ x ∣ = 8

x = - 4 or x = 4

Solution steps

x^{2} - 2 ∣ x ∣ = 8

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 4 or x = 4

∣ x ∣ + ∣ x + 2 ∣ = 2

∣ x - 2 ∣ + ∣ x - 5 ∣ = 7

∣ x + 5 ∣ = - 7

- ∣ x ∣ = - 8.12

x^{3} - 6 x^{2} + 11 x - 6 = 6