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

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

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

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

- 1 \leq x \leq 1

Solution steps

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

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 1 or - 1 < x < 1 or x = 1

Merge Overlapping Intervals

- 1 \leq x \leq 1

∣ - 3 z - 8 ∣ + 7 = 7

x^{2} - 24 = - 2 x

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

∣ x ∣ = 25.1

4 - 4 ∣ 6 x + 6 ∣ = - 116