What is the answer to | 5/x-2|=1 ?

The answer to | 5/x-2|=1 is x= 5/3 \lor x=5

Solve for x: | 5/x-2|=1

The solution is x= 5/3 \lor x=5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{5}{x} - 2 = 1

x = \frac{5}{3} or x = 5

Decimal Notation

x = 1.66666 \dots, x = 5

Solution steps

\frac{5}{x} - 2 = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{5}{x} - 2 = - 1 or \frac{5}{x} - 2 = 1

\frac{5}{x} - 2 = - 1 or \frac{5}{x} - 2 = 1

x = \frac{5}{3} or x = 5

x^{2} - 4 x + 5 = 2

\frac{1}{5} ∣ 3 x + 8 ∣ = 7

∣ - 6 q - 200 ∣ = 160

∣ 5 x + 10 ∣ = 0

3 ∣ 2 x + 3 ∣ + 4 = 14