What is the answer to 3+(1/x-2)=30 ?

The answer to 3+(1/x-2)=30 is x= 1/29

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3+(1/x-2)=30

3 + (\frac{1}{x} - 2) = 30

x = \frac{1}{29}

Decimal Notation

x = 0.03448 \dots

Solution steps

3 + (\frac{1}{x} - 2) = 30

Move

3

to the right side

\frac{1}{x} - 2 = 27

Multiply both sides by

x

1 - 2 x = 27 x

Move

1

to the right side

- 2 x = 27 x - 1

Move

27 x

to the left side

- 29 x = - 1

Divide both sides by

- 29

x = \frac{1}{29}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{29}

0.1 = 1 - (1 - \frac{1}{x})^{25}

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

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

X, 4 Y = \frac{3 X}{X + 1}

\frac{x}{0.1 - x} = 7.5