What is the answer to x+3+1/(x+3)=5 ?

The answer to x+3+1/(x+3)=5 is x=(-1+sqrt(21))/2 ,x=(-1-sqrt(21))/2

Solve for x: x+3+1/(x+3)=5

The solution is x=(-1+sqrt(21))/2 ,x=(-1-sqrt(21))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x + 3 + \frac{1}{x + 3} = 5

x = \frac{- 1 + 21}{2}, x = \frac{- 1 - 21}{2}

Decimal Notation

x = 1.79128 \dots, x = - 2.79128 \dots

Solution steps

x + 3 + \frac{1}{x + 3} = 5

Move

3

to the right side

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

Multiply both sides by

x + 3

x (x + 3) + 1 = 2 (x + 3)

Solve

x (x + 3) + 1 = 2 (x + 3) : x = \frac{- 1 + 21}{2}, x = \frac{- 1 - 21}{2}

x = \frac{- 1 + 21}{2}, x = \frac{- 1 - 21}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = \frac{- 1 + 21}{2}, x = \frac{- 1 - 21}{2}

(x + 3)^{- 1} = x^{- 1} + x

\frac{1}{x} = 0.5

\frac{1}{x} = 0.7

\frac{1}{x} = 0.6

\frac{1}{x} = 0.8

What is the answer to x+3+1/(x+3)=5 ?
The answer to x+3+1/(x+3)=5 is x=(-1+sqrt(21))/2 ,x=(-1-sqrt(21))/2
Solve for x: x+3+1/(x+3)=5
The solution is x=(-1+sqrt(21))/2 ,x=(-1-sqrt(21))/2