What is the answer to (x+9)/(x^2-81)=1 ?

The answer to (x+9)/(x^2-81)=1 is x=10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+9)/(x^2-81)=1

\frac{x + 9}{x ^{2} - 81} = 1

x = 10

Solution steps

\frac{x + 9}{x ^{2} - 81} = 1

Simplify

\frac{x + 9}{x ^{2} - 81} : \frac{1}{x - 9}

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

Multiply both sides by

x - 9

1 = x - 9

Switch sides

x - 9 = 1

Move

9

to the right side

x = 10

Verify Solutions

Find undefined (singularity) points:

x = 9, x = - 9

Combine undefined points with solutions:

x = 10

- \frac{10}{x ^{3}} = 0

\frac{2 x + 3}{9 x} = x

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

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

\frac{30}{35} = \frac{18}{x}