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

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

Solve for x: |x^2-1|=1

The solution is x=-sqrt(2)\lor x=0\lor x=sqrt(2)

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x^{2} - 1 = 1

x = - 2 or x = 0 or x = 2

Decimal Notation

x = - 1.41421 \dots, x = 0, x = 1.41421 \dots

Solution steps

x^{2} - 1 = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or (x = - 2 or x = 2)

x = - 2 or x = 0 or x = 2

- 2 ∣ x + 5 ∣ = - 4

∣ 4 x - 7 ∣ = 5

2 + 5 ∣ 3 x + 6 ∣ = 62

∣ 3 x + 9 ∣ = x + 2

3 ∣ 3 - 2 x ∣ = 15

What is the answer to |x^2-1|=1 ?
The answer to |x^2-1|=1 is x=-sqrt(2)\lor x=0\lor x=sqrt(2)
Solve for x: |x^2-1|=1
The solution is x=-sqrt(2)\lor x=0\lor x=sqrt(2)