What is the answer to 1/x+1/(x-8)= 1/3 ?

The answer to 1/x+1/(x-8)= 1/3 is x=12,x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/x+1/(x-8)= 1/3

\frac{1}{x} + \frac{1}{x - 8} = \frac{1}{3}

x = 12, x = 2

Solution steps

\frac{1}{x} + \frac{1}{x - 8} = \frac{1}{3}

Multiply by LCM

3 (x - 8) + 3 x = x (x - 8)

Solve

3 (x - 8) + 3 x = x (x - 8) : x = 12, x = 2

x = 12, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 8

Combine undefined points with solutions:

x = 12, x = 2

- \frac{9}{x - 9} - 5 = \frac{7 x}{x - 9}

\frac{5 x + 8}{3 x + 4} = \frac{5 x + 2}{3 x - 4}

\frac{x}{x - 1} + \frac{3}{x} = \frac{5}{2 x}

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

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

What is the answer to 1/x+1/(x-8)= 1/3 ?
The answer to 1/x+1/(x-8)= 1/3 is x=12,x=2
Solve for x: 1/x+1/(x-8)= 1/3
The solution is x=12,x=2