What is the answer to 0=|x^2-1| ?

The answer to 0=|x^2-1| is x=-1\lor x=1

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0=|x^2-1|

0 = x^{2} - 1

x = - 1 or x = 1

Solution steps

0 = x^{2} - 1

Switch sides

x^{2} - 1 = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x^{2} - 1 = 0

x^{2} - 1 = 0 : x = 1, x = - 1

x = - 1 or x = 1

5 x + ∣ x + 3 ∣ = 13

2 ∣ 9 - 2 x ∣ - 9 = 2

2 ∣ 2 x - 2 ∣ = 16

- 5 ∣ v + 220 ∣ = - 200

∣ 3 x - 2 ∣ = 4 + x