What is the answer to (x+1)(|x|-1)=(-1)/2 ?

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

Solve for x: (x+1)(|x|-1)=(-1)/2

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

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(x + 1) (∣ x ∣ - 1) = \frac{- 1}{2}

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

Solution steps

(x + 1) (∣ x ∣ - 1) = \frac{- 1}{2}

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

(x = - \frac{2 + 2}{2} or x = - \frac{2 - 2}{2}) or x = \frac{1}{2}

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

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

x ∣ x ∣ = 4

∣ x + 1 ∣ + ∣ x - 1 ∣ = ∣ 2 x ∣

∣ 2 x + 5 ∣ + ∣ 2 x - 6 ∣ = 8

(- x^{2} + x - 1)^{3} + x^{2} - x + 1 = 0

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