What is the answer to 4/(x-3)-4/x =1 ?

The answer to 4/(x-3)-4/x =1 is x=(3+sqrt(57))/2 ,x=(3-sqrt(57))/2

Solve for x: 4/(x-3)-4/x =1

The solution is x=(3+sqrt(57))/2 ,x=(3-sqrt(57))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = \frac{3 + 57}{2}, x = \frac{3 - 57}{2}

Decimal Notation

x = 5.27491 \dots, x = - 2.27491 \dots

Solution steps

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

Multiply by LCM

4 x - 4 (x - 3) = x (x - 3)

Solve

4 x - 4 (x - 3) = x (x - 3) : x = \frac{3 + 57}{2}, x = \frac{3 - 57}{2}

x = \frac{3 + 57}{2}, x = \frac{3 - 57}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 0

Combine undefined points with solutions:

x = \frac{3 + 57}{2}, x = \frac{3 - 57}{2}

k, r = \frac{k}{k - 6}

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

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

\frac{4}{9} = \frac{2}{x}

\frac{6 - x}{x} = 10

What is the answer to 4/(x-3)-4/x =1 ?
The answer to 4/(x-3)-4/x =1 is x=(3+sqrt(57))/2 ,x=(3-sqrt(57))/2
Solve for x: 4/(x-3)-4/x =1
The solution is x=(3+sqrt(57))/2 ,x=(3-sqrt(57))/2