What is the answer to x^2-2|x|-3=0 ?

The answer to x^2-2|x|-3=0 is x=-3\lor x=3

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x^2-2|x|-3=0

x^{2} - 2 ∣ x ∣ - 3 = 0

x = - 3 or x = 3

Solution steps

x^{2} - 2 ∣ x ∣ - 3 = 0

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 3 or x = 3

\frac{13 x - 3}{5 x - 2} \leq 3

- 4 x < 16

15 x^{2} + 11 x + 2

x^{2} - 8 x + 7 = 0

- \frac{8}{3} < \frac{8 x + 3}{9} \leq \frac{1}{3}