What is the answer to 2+3|x-9|=8 ?

The answer to 2+3|x-9|=8 is x=7\lor x=11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2+3|x-9|=8

2 + 3 ∣ x - 9 ∣ = 8

x = 7 or x = 11

Solution steps

2 + 3 ∣ x - 9 ∣ = 8

Move

2

to the right side

3 ∣ x - 9 ∣ = 6

Divide both sides by

3

∣ x - 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 9 = - 2 or x - 9 = 2

x - 9 = - 2 or x - 9 = 2

x = 7 or x = 11

20 x^{4} + 45 x^{5}

- 12 x + 24 \leq 264

2 x^{2} - 5 x - 12 > 0

lo g_{4} (4^{2})

\frac{m}{2} = - 7