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

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

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|2x|=x^2-3

∣ 2 x ∣ = x^{2} - 3

x = - 3 or x = 3

Solution steps

∣ 2 x ∣ = x^{2} - 3

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 3 or x = 3

4 x^{3} + 12 x^{2} - x - 3

- 1 \cdot \frac{1}{3}

\frac{2}{5} \cdot 6

9 n^{2} - 27 n + 20

(2 x - 5)^{2} = 8