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

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

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

The solution is x=(5+sqrt(3))/2 ,x=(5-sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Decimal Notation

x = 3.36602 \dots, x = 1.63397 \dots

Solution steps

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

Cross multiply

x - 1 = (2 x - 5) (x - 2)

Solve

x - 1 = (2 x - 5) (x - 2) : x = \frac{5 + 3}{2}, x = \frac{5 - 3}{2}

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

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

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

\frac{3}{x} + 6 = - 45

a, x = \frac{a + b + c}{ab}

\frac{2}{( x + 1 )} = x

\frac{x - 1}{x - 9} = \frac{4}{5}

\frac{x + 1}{x - 3} = \frac{9}{5}

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