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

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

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x^2-|x|=6

x^{2} - ∣ x ∣ = 6

x = - 3 or x = 3

Solution steps

x^{2} - ∣ x ∣ = 6

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 3 or x = 3

\frac{∣ x + 4 ∣}{10} = - 1

7 ∣ x + 2 ∣ + 5 x = 0

- 2 ∣ x - 3 ∣ + 8 = - 4

∣ x ∣ = x^{2} + x - 48

∣ 2 - 2 x ∣ = 6