What is the answer to (x-2)=|x^2-4| ?

The answer to (x-2)=|x^2-4| is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-2)=|x^2-4|

(x - 2) = x^{2} - 4

x = 2

Solution steps

x - 2 = x^{2} - 4

Find positive and negative intervals

x \leq - 2, - 2 < x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = 2

x = 2

0 = 4 x^{2} + 2 x - 1

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

\frac{- 8 Q ^{2} + 20 Q + 800}{189} = 0

- \frac{7}{8} x = - 5

11 - 2 ∣ x + 4 ∣ > 8