What is the answer to 1/x+1/(x+3)= 1/2 ?

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

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

x = 3, x = - 2

Solution steps

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

Multiply by LCM

2 (x + 3) + 2 x = x (x + 3)

Solve

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

x = 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = 3, x = - 2

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

x + \frac{11}{x} = - 12

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

\frac{6 x}{x - 1} + 2 = \frac{6}{x ^{2} - x}

\frac{x ^{2} - 3 x + 2}{2 - x} = 0

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