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

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

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6-x^2=|x|

6 - x^{2} = ∣ x ∣

x = - 2 or x = 2

Solution steps

6 - x^{2} = ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 2 or x = 2

- ∣ - 3 s + 2 ∣ = - 18

∣ - 4 n - 3 ∣ = 9

\frac{x}{5} = 4

∣ 9 - 12 x ∣ = 45

x^{2} + 2 x - 10 = ∣ x + 2 ∣ + 6