What is the answer to 1/((x-2)^2)-1/(x-2)-6=0 ?

The answer to 1/((x-2)^2)-1/(x-2)-6=0 is x= 3/2 ,x= 7/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1/((x-2)^2)-1/(x-2)-6=0

\frac{1}{( x - 2 ) ^{2}} - \frac{1}{x - 2} - 6 = 0

x = \frac{3}{2}, x = \frac{7}{3}

Decimal Notation

x = 1.5, x = 2.33333 \dots

Solution steps

\frac{1}{( x - 2 ) ^{2}} - \frac{1}{x - 2} - 6 = 0

Multiply by LCM

1 - (x - 2) - 6 (x - 2)^{2} = 0

Solve

1 - (x - 2) - 6 (x - 2)^{2} = 0 : x = \frac{3}{2}, x = \frac{7}{3}

x = \frac{3}{2}, x = \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{3}{2}, x = \frac{7}{3}

2 - \frac{200}{x ^{2}} = 0

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

\frac{1}{3 x} + \frac{1}{4 x} = 720

\frac{7}{x + 1} = \frac{4 x - 6}{2 x - 3}

\frac{21}{a + 2} = \frac{3}{a - 1}

What is the answer to 1/((x-2)^2)-1/(x-2)-6=0 ?
The answer to 1/((x-2)^2)-1/(x-2)-6=0 is x= 3/2 ,x= 7/3
Solve for x: 1/((x-2)^2)-1/(x-2)-6=0
The solution is x= 3/2 ,x= 7/3