What is the answer to 5/(4x)+(x+1)/x =2 ?

The answer to 5/(4x)+(x+1)/x =2 is x= 9/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/(4x)+(x+1)/x =2

\frac{5}{4 x} + \frac{x + 1}{x} = 2

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

\frac{5}{4 x} + \frac{x + 1}{x} = 2

Multiply by LCM

4 x + 9 = 8 x

Move

9

to the right side

4 x = 8 x - 9

Move

8 x

to the left side

- 4 x = - 9

Divide both sides by

- 4

x = \frac{9}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{4}

x^{2} + 3 = \frac{4}{x ^{2}}

\frac{50}{x} = \frac{x}{32}

u, z = \frac{6}{7 u}

\frac{10}{2 x} + 25 = 23

x + 1 - \frac{3}{x} = 0

What is the answer to 5/(4x)+(x+1)/x =2 ?
The answer to 5/(4x)+(x+1)/x =2 is x= 9/4
Solve for x: 5/(4x)+(x+1)/x =2
The solution is x= 9/4