What is the answer to |x^2-4|=x-2 ?

The answer to |x^2-4|=x-2 is x=2

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|x^2-4|=x-2

x^{2} - 4 = x - 2

x = 2

Solution steps

x^{2} - 4 = x - 2

Find positive and negative intervals

x \leq - 2, - 2 < x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ 4 x + 3 ∣ - 4 = 3 x

30 = ∣ y + 10 ∣

∣ x - 7 ∣ = c

∣ v ∣ = 6

3 ∣ x - 2 ∣ - 8 = 7