What is the answer to (x^2+2x-8)/(x^2-x-2)=3 ?

The answer to (x^2+2x-8)/(x^2-x-2)=3 is x= 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2+2x-8)/(x^2-x-2)=3

\frac{x ^{2} + 2 x - 8}{x ^{2} - x - 2} = 3

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

\frac{x ^{2} + 2 x - 8}{x ^{2} - x - 2} = 3

Simplify

\frac{x ^{2} + 2 x - 8}{x ^{2} - x - 2} : \frac{x + 4}{x + 1}

\frac{x + 4}{x + 1} = 3

Multiply both sides by

x + 1

x + 4 = 3 (x + 1)

Expand

3 (x + 1) : 3 x + 3

x + 4 = 3 x + 3

Move

4

to the right side

x = 3 x - 1

Move

3 x

to the left side

- 2 x = - 1

Divide both sides by

- 2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 1

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{( x - 2 ) ^{2}}{3 - 2 x} = 0

\frac{27}{15} = \frac{72}{a}

\frac{2}{p} + \frac{3}{p - 1} = 5

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

6 - \frac{3}{x} = \frac{9}{2}

What is the answer to (x^2+2x-8)/(x^2-x-2)=3 ?
The answer to (x^2+2x-8)/(x^2-x-2)=3 is x= 1/2
Solve for x: (x^2+2x-8)/(x^2-x-2)=3
The solution is x= 1/2