What is the answer to |x^2-12|=x ?

The answer to |x^2-12|=x is x=3\lor x=4

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|x^2-12|=x

x^{2} - 12 = x

x = 3 or x = 4

Solution steps

x^{2} - 12 = x

Find positive and negative intervals

x \leq - 23, - 23 < x < 23, x \geq 23

Solve the inequality for each interval

No Solution or x = 3 or x = 4

x = 3 or x = 4

- 5 ∣ 2 - 2 x ∣ = - 50

∣ x ∣ = 33

∣ x - 7 ∣ = - 6

∣ x - 7 ∣ = - 2

∣ 15 - 9 x ∣ = 48