What is the answer to |x^2-1|=2x-2 ?

The answer to |x^2-1|=2x-2 is x=1

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|x^2-1|=2x-2

x^{2} - 1 = 2 x - 2

x = 1

Solution steps

x^{2} - 1 = 2 x - 2

Find positive and negative intervals

x \leq - 1, - 1 < x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 1

x = 1

x^{2} - 1 = 2 x - 1

∣ x - 7000 ∣ = 13000

x^{2} - 1 = 2 x + 1

∣ 6 x - 3 ∣ = - 15

- 4 = - ∣ x - 3 ∣ - 1