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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/x-2/(x-2)=3

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

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

Solution steps

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

Multiply by LCM

- x - 2 = 3 x (x - 2)

Solve

- x - 2 = 3 x (x - 2) : x = 1, x = \frac{2}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

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

\frac{6}{10} = \frac{21}{k}

\frac{7}{x + 7} + 1 = - \frac{x}{x + 7}

\frac{3}{x - 4} = \frac{10}{x - 9}

\frac{2 t - 1}{t + 3} = - 2

\frac{5}{x - 4} = \frac{6}{x - 3}