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

The answer to 1= 1/(1-x)+x/(x-1) is x\ne 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1= 1/(1-x)+x/(x-1)

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

x \neq = 1

Solution steps

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

Multiply by LCM

(- x + 1) (x - 1) = x - 1 + x (- x + 1)

Solve

(- x + 1) (x - 1) = x - 1 + x (- x + 1) :

True for all

x

x \neq = 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

x \neq = 1

\frac{x}{x - 3} + 8 = \frac{9}{x ^{2} - 3 x}

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

8 x + \frac{x}{x - 8} = \frac{8}{x - 8}

\frac{2 z}{z + 3} = \frac{3}{z - 10} + 2

\frac{5}{x + 4} = \frac{3}{x - 2}

What is the answer to 1= 1/(1-x)+x/(x-1) ?
The answer to 1= 1/(1-x)+x/(x-1) is x\ne 1
Solve for x: 1= 1/(1-x)+x/(x-1)
The solution is x\ne 1