What is the answer to (((x+1))/((x-4)))^2=((x+8))/((x-2)) ?

The answer to (((x+1))/((x-4)))^2=((x+8))/((x-2)) is x= 26/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(((x+1))/((x-4)))^2=((x+8))/((x-2))

(\frac{( x + 1 )}{( x - 4 )})^{2} = \frac{( x + 8 )}{( x - 2 )}

x = \frac{26}{9}

Decimal Notation

x = 2.88888 \dots

Solution steps

(\frac{( x + 1 )}{( x - 4 )})^{2} = \frac{( x + 8 )}{( x - 2 )}

Cross multiply

x^{3} - 3 x - 2 = x^{3} - 48 x + 128

Move

2

to the right side

x^{3} - 3 x = x^{3} - 48 x + 130

Subtract

x^{3} - 48 x

from both sides

x^{3} - 3 x - (x^{3} - 48 x) = x^{3} - 48 x + 130 - (x^{3} - 48 x)

Simplify

45 x = 130

Divide both sides by

45

x = \frac{26}{9}

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 2

Combine undefined points with solutions:

x = \frac{26}{9}

a, \frac{1}{a} + \frac{2}{b} = \frac{1}{3}

\frac{1.2}{43} = \frac{4.8}{x}

\frac{( 2 + x ) ( x - 7 )}{( x - 5 ) ( x + 4 )} = 1

4 \frac{x ^{2}}{x} - 1 - 1 - 3 \frac{x}{4} = 20 \frac{x}{3}

\frac{x ^{2} + x ^{2}}{( x + 1 ) ^{2}} = 3

What is the answer to (((x+1))/((x-4)))^2=((x+8))/((x-2)) ?
The answer to (((x+1))/((x-4)))^2=((x+8))/((x-2)) is x= 26/9
Solve for x: (((x+1))/((x-4)))^2=((x+8))/((x-2))
The solution is x= 26/9