What is the answer to 4/x-1/(x-1)=9 ?

The answer to 4/x-1/(x-1)=9 is x= 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4/x-1/(x-1)=9

\frac{4}{x} - \frac{1}{x - 1} = 9

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

\frac{4}{x} - \frac{1}{x - 1} = 9

Multiply by LCM

4 (x - 1) - x = 9 x (x - 1)

Solve

4 (x - 1) - x = 9 x (x - 1) : x = \frac{2}{3}

x = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = \frac{2}{3}

\frac{( 1.12 + x ) ^{2}}{x ^{2}} = 6.4

\frac{3}{8 x} = 84

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

2 = \frac{x}{( 1.15 - x ) ^{2}}

4 = \frac{y + 7}{y - 7}