What is the answer to 1/(x-3)+1/(x+4)= 9/8 ?

The answer to 1/(x-3)+1/(x+4)= 9/8 is x=4,x=-29/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/(x-3)+1/(x+4)= 9/8

\frac{1}{x - 3} + \frac{1}{x + 4} = \frac{9}{8}

x = 4, x = - \frac{29}{9}

Decimal Notation

x = 4, x = - 3.22222 \dots

Solution steps

\frac{1}{x - 3} + \frac{1}{x + 4} = \frac{9}{8}

Multiply by LCM

8 (x + 4) + 8 (x - 3) = 9 (x - 3) (x + 4)

Solve

8 (x + 4) + 8 (x - 3) = 9 (x - 3) (x + 4) : x = 4, x = - \frac{29}{9}

x = 4, x = - \frac{29}{9}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 4

Combine undefined points with solutions:

x = 4, x = - \frac{29}{9}

k, k = \frac{2 π}{10 mm}

\frac{x ^{2} + 2 x}{x + 4} = \frac{8}{x + 4}

x, \frac{1}{z} = \frac{1}{y} + \frac{1}{x}

\frac{900}{( 210 + x )} = 36

\frac{24}{x - 8} + 4 = \frac{20}{x - 8}

What is the answer to 1/(x-3)+1/(x+4)= 9/8 ?
The answer to 1/(x-3)+1/(x+4)= 9/8 is x=4,x=-29/9
Solve for x: 1/(x-3)+1/(x+4)= 9/8
The solution is x=4,x=-29/9