What is the answer to x/(2-x)=6-x ?

The answer to x/(2-x)=6-x is x=(9+sqrt(33))/2 ,x=(9-sqrt(33))/2

Solve for x: x/(2-x)=6-x

The solution is x=(9+sqrt(33))/2 ,x=(9-sqrt(33))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = \frac{9 + 33}{2}, x = \frac{9 - 33}{2}

Decimal Notation

x = 7.37228 \dots, x = 1.62771 \dots

Solution steps

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

Multiply both sides by

2 - x

x = 6 (2 - x) - x (2 - x)

Solve

x = 6 (2 - x) - x (2 - x) : x = \frac{9 + 33}{2}, x = \frac{9 - 33}{2}

x = \frac{9 + 33}{2}, x = \frac{9 - 33}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{9 + 33}{2}, x = \frac{9 - 33}{2}

\frac{6}{w + 5} - 4 = \frac{2}{w + 5}

\frac{40}{x} = 25

\frac{5}{9} = \frac{20}{x}

2 = \frac{1}{8 ( 6 x - 24 )}

100 = 5 + \frac{80000}{x}

What is the answer to x/(2-x)=6-x ?
The answer to x/(2-x)=6-x is x=(9+sqrt(33))/2 ,x=(9-sqrt(33))/2
Solve for x: x/(2-x)=6-x
The solution is x=(9+sqrt(33))/2 ,x=(9-sqrt(33))/2