What is the answer to x/(x-2)+1= 4/(x^2-2x) ?

The answer to x/(x-2)+1= 4/(x^2-2x) is x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x/(x-2)+1= 4/(x^2-2x)

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

x = - 1

Solution steps

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

Multiply by LCM

x^{2} + x (x - 2) = 4

Solve

x^{2} + x (x - 2) = 4 : x = 2, x = - 1

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Since the equation is undefined for:

2

x = - 1

\frac{( + 6 )}{x} = (- 3)

x^{2} + (- \frac{x}{x + 2})^{2} = 20

x - \frac{2}{x - 6} = \frac{5}{x - 6}

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

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

What is the answer to x/(x-2)+1= 4/(x^2-2x) ?
The answer to x/(x-2)+1= 4/(x^2-2x) is x=-1
Solve for x: x/(x-2)+1= 4/(x^2-2x)
The solution is x=-1