What is the answer to |x^2-1|=4 ?

The answer to |x^2-1|=4 is x=-sqrt(5)\lor x=sqrt(5)

Solve for x: |x^2-1|=4

The solution is x=-sqrt(5)\lor x=sqrt(5)

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x^{2} - 1 = 4

x = - 5 or x = 5

Decimal Notation

x = - 2.23606 \dots, x = 2.23606 \dots

Solution steps

x^{2} - 1 = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x^{2} - 1 = - 4 or x^{2} - 1 = 4

x^{2} - 1 = - 4 or x^{2} - 1 = 4

No Solution or (x = - 5 or x = 5)

x = - 5 or x = 5

∣ 2 x + 3 ∣ - 4 = 3

∣ 5 - 9 x ∣ = 5

∣ x + 1 ∣ + 9 = 3 x

∣ x ∣ = x + 7

1 - \frac{x}{2} = - 1

What is the answer to |x^2-1|=4 ?
The answer to |x^2-1|=4 is x=-sqrt(5)\lor x=sqrt(5)
Solve for x: |x^2-1|=4
The solution is x=-sqrt(5)\lor x=sqrt(5)