What is the answer to ((x-2))/x+4/((x-2))= 8/((x^2-2x)) ?

The answer to ((x-2))/x+4/((x-2))= 8/((x^2-2x)) is x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((x-2))/x+4/((x-2))= 8/((x^2-2x))

\frac{( x - 2 )}{x} + \frac{4}{( x - 2 )} = \frac{8}{( x ^{2} - 2 x )}

x = - 2

Solution steps

\frac{( x - 2 )}{x} + \frac{4}{( x - 2 )} = \frac{8}{( x ^{2} - 2 x )}

Multiply by LCM

(x - 2)^{2} + 4 x = 8

Solve

(x - 2)^{2} + 4 x = 8 : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Since the equation is undefined for:

2

x = - 2

x, \frac{1}{x} + \frac{1}{y} = \frac{1}{13}

b, a = 2 - \frac{1}{( 1 + b )}

\frac{7}{( 10 x )} = \frac{3}{20 + 5}

\frac{b}{4} = \frac{a}{x + 6}

\frac{1}{x} + \frac{1}{x} - 4 = \frac{2}{x ^{2}} - 4 x

What is the answer to ((x-2))/x+4/((x-2))= 8/((x^2-2x)) ?
The answer to ((x-2))/x+4/((x-2))= 8/((x^2-2x)) is x=-2
Solve for x: ((x-2))/x+4/((x-2))= 8/((x^2-2x))
The solution is x=-2