What is the answer to 1/2 |x|-2=3 ?

The answer to 1/2 |x|-2=3 is x=-10\lor x=10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/2 |x|-2=3

\frac{1}{2} ∣ x ∣ - 2 = 3

x = - 10 or x = 10

Solution steps

\frac{1}{2} ∣ x ∣ - 2 = 3

Move

2

to the right side

\frac{1}{2} ∣ x ∣ = 5

Multiply both sides by

2

∣ x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 10 or x = 10

∣ 3 x + 4 ∣ = - 7

∣ b + 1 ∣ - 6 = - 2

4 = \frac{c}{4}

∣ 3 x - 1 ∣ = x + ∣ 2 - x ∣

∣ x - 1 ∣ + 17 = 23