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

The answer to |x^2-1|=2x+1 is x=0\lor x=1+sqrt(3)

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

The solution is x=0\lor x=1+sqrt(3)

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

x = 0 or x = 1 + 3

Decimal Notation

x = 0, x = 2.73205 \dots

Solution steps

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

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 0 or x = 1 + 3

x = 0 or x = 1 + 3

∣ 6 x - 3 ∣ = - 15

- 4 = - ∣ x - 3 ∣ - 1

∣ 7 M + 11 ∣ = 3

∣ 2 x - 4 ∣ = 4

∣ 2 x - 4 ∣ = 0

What is the answer to |x^2-1|=2x+1 ?
The answer to |x^2-1|=2x+1 is x=0\lor x=1+sqrt(3)
Solve for x: |x^2-1|=2x+1
The solution is x=0\lor x=1+sqrt(3)