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

The answer to | 5/(2x-1)|=| 1/(x-2)| is x= 11/7 ,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

| 5/(2x-1)|=| 1/(x-2)|

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

x = \frac{11}{7}, x = 3

Decimal Notation

x = 1.57142 \dots, x = 3

Solution steps

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

Cross multiply

5 ∣ x - 2 ∣ = ∣ 2 x - 1 ∣

Solve

5 ∣ x - 2 ∣ = ∣ 2 x - 1 ∣ : x = \frac{11}{7} or x = 3

x = \frac{11}{7}, x = 3

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}, x = 2

Combine undefined points with solutions:

x = \frac{11}{7}, x = 3

0 = - 3 x^{2} + 5 x + 9

3 + \frac{1}{x} \leq 3

x^{2} - 4 x \geq 0

10 x^{2} + 15 x

12 x^{2} + 16 x < x^{4}

What is the answer to | 5/(2x-1)|=| 1/(x-2)| ?
The answer to | 5/(2x-1)|=| 1/(x-2)| is x= 11/7 ,x=3
Solve for x: | 5/(2x-1)|=| 1/(x-2)|
The solution is x= 11/7 ,x=3