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

The answer to x^2+2x=2-|x| is x=-2\lor x=(-3+sqrt(17))/2

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

The solution is x=-2\lor x=(-3+sqrt(17))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2} + 2 x = 2 - ∣ x ∣

x = - 2 or x = \frac{- 3 + 17}{2}

Decimal Notation

x = - 2, x = 0.56155 \dots

Solution steps

x^{2} + 2 x = 2 - ∣ x ∣

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - 2 or x = \frac{- 3 + 17}{2}

x + x^{2} + 4 - 4 x = 2

∣ 4 k ∣ = 8

\frac{x}{2} + 6 = 10

∣ - 4 f ∣ = 4

∣ 3 x + 4 ∣ = 2 x + 1

What is the answer to x^2+2x=2-|x| ?
The answer to x^2+2x=2-|x| is x=-2\lor x=(-3+sqrt(17))/2
Solve for x: x^2+2x=2-|x|
The solution is x=-2\lor x=(-3+sqrt(17))/2