What is the answer to |x^2-6|=x ?

The answer to |x^2-6|=x is x=2\lor x=3

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|x^2-6|=x

x^{2} - 6 = x

x = 2 or x = 3

Solution steps

x^{2} - 6 = x

Find positive and negative intervals

x \leq - 6, - 6 < x < 6, x \geq 6

Solve the inequality for each interval

No Solution or x = 2 or x = 3

x = 2 or x = 3

∣ 4 b + 10 ∣ = 12

- ∣ x + 4 ∣ + 8 = 4

x^{2} + 6 x = 3 x + 18

8 - 2 ∣ 5 x - 10 ∣ = 15

2 - 10 ∣ k + 1 ∣ = - 78