What is the answer to |2x-5|=4 ?

The answer to |2x-5|=4 is x= 1/2 \lor x= 9/2

Solve for x: |2x-5|=4

The solution is x= 1/2 \lor x= 9/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ 2 x - 5 ∣ = 4

x = \frac{1}{2} or x = \frac{9}{2}

Decimal Notation

x = 0.5, x = 4.5

Solution steps

∣ 2 x - 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 4 or 2 x - 5 = 4

2 x - 5 = - 4 or 2 x - 5 = 4

x = \frac{1}{2} or x = \frac{9}{2}

5 = \frac{t}{4}

- ∣ x ∣ = 1

- 4 ∣ 3 x + 1 ∣ + 5 = - 15

1 + ∣ 3 x + 6 ∣ + 4 x = 0

∣ x - 2 ∣ + 3 = 7