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

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

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

The solution is x=(sqrt(5)-1)/2 \lor x=(1+sqrt(5))/2

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x^{2} - 1 = x

x = \frac{5 - 1}{2} or x = \frac{1 + 5}{2}

Decimal Notation

x = 0.61803 \dots, x = 1.61803 \dots

Solution steps

x^{2} - 1 = x

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = \frac{5 - 1}{2} or x = \frac{1 + 5}{2}

x = \frac{5 - 1}{2} or x = \frac{1 + 5}{2}

∣ 2 w + 5 ∣ = 5

5 ∣ - 3.1 x + 6.9 ∣ = - 3.5

x^{2} - 3 ∣ x - 2 ∣ - 4 x = - 6

5 ∣ 2 x ∣ - 6 = 24

∣ 4 c + 2 ∣ = - 2

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