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

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

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

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

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x^{2} - 1 = ∣ x ∣

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

Solution steps

x^{2} - 1 = ∣ x ∣

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}

x^{2} = ∣ 5 x + 6 ∣

\frac{3}{2} x - 6 = 6

4 ∣ 3 x - 4 ∣ = 32

- 8 ∣ n ∣ + 7 = - 41

∣ 5 r - 7 ∣ = 38

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