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

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

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

The solution is x=sqrt(3)-1\lor x=2

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

x = 3 - 1 or x = 2

Decimal Notation

x = 0.73205 \dots, x = 2

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 = 3 - 1 or x = 2

x = 3 - 1 or x = 2

∣ x - 7000 ∣ = 13000

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

∣ 6 x - 3 ∣ = - 15

- 4 = - ∣ x - 3 ∣ - 1

∣ 7 M + 11 ∣ = 3

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