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

The answer to |x^2-1|=x-1 is x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x^2-1|=x-1

x^{2} - 1 = x - 1

x = 1

Solution steps

x^{2} - 1 = x - 1

Find positive and negative intervals

x \leq - 1, - 1 < x < 1, x \geq 1

Solve the inequality for each interval

No Solution or x = 1

x = 1

∣ x - 5 ∣ = - 5

- ∣ 2 x - 10 ∣ - 1 = 2

x^{2} - 3 ∣ x ∣ = 10

∣ x - 3 ∣ + ∣ x - 1 ∣ = 0

∣ 8 x + 3 ∣ + 15 = 13