What is the answer to |x|=x^2-30 ?

The answer to |x|=x^2-30 is x=-6\lor x=6

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|x|=x^2-30

∣ x ∣ = x^{2} - 30

x = - 6 or x = 6

Solution steps

∣ x ∣ = x^{2} - 30

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 6 or x = 6

∣ 2 + 2 x ∣ + 1 = 3

14 ∣ 3 - 8 x ∣ + 14 = 52

∣ - 6 k ∣ = 30

∣ 3 - x ∣ = 6

12 = \frac{b}{6}