What is the answer to x^2+2|x|=15 ?

The answer to x^2+2|x|=15 is x=-3\lor x=3

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x^2+2|x|=15

x^{2} + 2 ∣ x ∣ = 15

x = - 3 or x = 3

Solution steps

x^{2} + 2 ∣ x ∣ = 15

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 3 or x = 3

x^{2} + x + 4 = 0

x^{2} - 4 x + x^{2} - 5 - 1 = 0

2 ∣ n + 7 ∣ = ∣ 4 n + 8 ∣

∣ x - 2 ∣ + ∣ x - 3 ∣ + ∣ x + 1 ∣ = 7

∣ 3 x - 5 ∣ - ∣ 1 - x ∣ = 0