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

The answer to x^2-15=2|x| is x=-5\lor x=5

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x^2-15=2|x|

x^{2} - 15 = 2 ∣ x ∣

x = - 5 or x = 5

Solution steps

x^{2} - 15 = 2 ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 5 or x = 5

∣ y ∣ - 25 = - 15

∣ 2 x + 1 ∣ + ∣ x - 4 ∣ = 3

∣ 6 x + 12 ∣ = 1 + x

∣ x + 2 ∣ = 4 x - 1

∣ x + 3 ∣ = ∣ 2 x ∣ + 2