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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} - ∣ x ∣ = 1

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

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}

3 (∣ x + 3 ∣ + 2) = 6

∣ - 5 x ∣ = 30

- 2 + ∣ 3 x - 3 ∣ = 25

∣ - 5 x ∣ = 35

5 ∣ x - 4 ∣ = - 35

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