What is the answer to 3/(x-1)-(5x)/(x+2)= 1/4 ?

The answer to 3/(x-1)-(5x)/(x+2)= 1/4 is x=-(-31+sqrt(3145))/(42),x=(31+sqrt(3145))/(42)

Solve for x: 3/(x-1)-(5x)/(x+2)= 1/4

The solution is x=-(-31+sqrt(3145))/(42),x=(31+sqrt(3145))/(42)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{3}{x - 1} - \frac{5 x}{x + 2} = \frac{1}{4}

x = - \frac{- 31 + 3145}{42}, x = \frac{31 + 3145}{42}

Decimal Notation

x = - 0.59714 \dots, x = 2.07334 \dots

Solution steps

\frac{3}{x - 1} - \frac{5 x}{x + 2} = \frac{1}{4}

Multiply by LCM

12 (x + 2) - 20 x (x - 1) = (x - 1) (x + 2)

Solve

12 (x + 2) - 20 x (x - 1) = (x - 1) (x + 2) : x = - \frac{- 31 + 3145}{42}, x = \frac{31 + 3145}{42}

x = - \frac{- 31 + 3145}{42}, x = \frac{31 + 3145}{42}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 2

Combine undefined points with solutions:

x = - \frac{- 31 + 3145}{42}, x = \frac{31 + 3145}{42}

\frac{2}{x + 7} = 5

\frac{2}{x + 7} = \frac{4}{x}

\frac{1}{5} + \frac{1}{2} = \frac{1}{x}

0 = (- \frac{4 y + 5}{12 y ^{2}})

\frac{3}{x ^{2}} - \frac{53}{x} = 18

What is the answer to 3/(x-1)-(5x)/(x+2)= 1/4 ?
The answer to 3/(x-1)-(5x)/(x+2)= 1/4 is x=-(-31+sqrt(3145))/(42),x=(31+sqrt(3145))/(42)
Solve for x: 3/(x-1)-(5x)/(x+2)= 1/4
The solution is x=-(-31+sqrt(3145))/(42),x=(31+sqrt(3145))/(42)