What is the answer to x^2-|x|-1=0 ?

The answer to x^2-|x|-1=0 is x=(-1-sqrt(5))/2 \lor x=(1+sqrt(5))/2

Solve for x: x^2-|x|-1=0

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

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x^{2} - ∣ x ∣ - 1 = 0

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

Decimal Notation

x = - 1.61803 \dots, x = 1.61803 \dots

Solution steps

x^{2} - ∣ x ∣ - 1 = 0

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

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

∣ t + 2 ∣ = 5

5 ∣ x - 6 ∣ = 18

5 ∣ x - 6 ∣ = 22

5 ∣ x - 6 ∣ = 28

5 ∣ x - 6 ∣ = 26

What is the answer to x^2-|x|-1=0 ?
The answer to x^2-|x|-1=0 is x=(-1-sqrt(5))/2 \lor x=(1+sqrt(5))/2
Solve for x: x^2-|x|-1=0
The solution is x=(-1-sqrt(5))/2 \lor x=(1+sqrt(5))/2