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

The answer to |x|=(x+1)^2 is x=(-3-sqrt(5))/2 \lor x=(-3+sqrt(5))/2

Solve for x: |x|=(x+1)^2

The solution is x=(-3-sqrt(5))/2 \lor x=(-3+sqrt(5))/2

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∣ x ∣ = (x + 1)^{2}

x = \frac{- 3 - 5}{2} or x = \frac{- 3 + 5}{2}

Decimal Notation

x = - 2.61803 \dots, x = - 0.38196 \dots

Solution steps

∣ x ∣ = (x + 1)^{2}

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

(x = \frac{- 3 - 5}{2} or x = \frac{- 3 + 5}{2}) or No Solution

x = \frac{- 3 - 5}{2} or x = \frac{- 3 + 5}{2}

8 = ∣ - 2 b ∣ + 8

∣ 3 d - 4 ∣ = 10

∣ 5 x + 1 ∣ = 3 x - 4

- ∣ 2 x + 4 ∣ - 9 = 11

∣ x + 9 ∣ + 8 = 5

What is the answer to |x|=(x+1)^2 ?
The answer to |x|=(x+1)^2 is x=(-3-sqrt(5))/2 \lor x=(-3+sqrt(5))/2
Solve for x: |x|=(x+1)^2
The solution is x=(-3-sqrt(5))/2 \lor x=(-3+sqrt(5))/2