What is the answer to |2(x-2)|= 5/2 ?

The answer to |2(x-2)|= 5/2 is x= 3/4 \lor x= 13/4

Solve for x: |2(x-2)|= 5/2

The solution is x= 3/4 \lor x= 13/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

∣ 2 (x - 2) ∣ = \frac{5}{2}

x = \frac{3}{4} or x = \frac{13}{4}

Solution steps

∣ 2 (x - 2) ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 (x - 2) = - \frac{5}{2} or 2 (x - 2) = \frac{5}{2}

2 (x - 2) = - \frac{5}{2} or 2 (x - 2) = \frac{5}{2}

x = \frac{3}{4} or x = \frac{13}{4}

∣ x + 1 ∣ = 5

x^{2} - x + 1 + ∣ 2 x - 3 ∣ = 4 x

(- x^{2} + x - 1) 3 + x^{2} - x + 1 = 0

(x + 3) ∣ x + 2 ∣ + ∣ 2 x + 3 ∣ + 1 = 0

∣ x - 2 ∣ + ∣ x - 4 ∣ = 5

What is the answer to |2(x-2)|= 5/2 ?
The answer to |2(x-2)|= 5/2 is x= 3/4 \lor x= 13/4
Solve for x: |2(x-2)|= 5/2
The solution is x= 3/4 \lor x= 13/4