What is the answer to |x-6|= x/2 ?

The answer to |x-6|= x/2 is x=4\lor x=12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|x-6|= x/2

∣ x - 6 ∣ = \frac{x}{2}

x = 4 or x = 12

Solution steps

∣ x - 6 ∣ = \frac{x}{2}

Find positive and negative intervals

x < 6, x \geq 6

Solve the inequality for each interval

x = 4 or x = 12

8 = ∣ 2 + 4 x ∣

2 ∣ x - 3 ∣ + 4 = 8

1 + x^{3} - 3 x = 0

∣ x ∣ - 18 = - 10

∣ - 8 x ∣ = 64