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

The answer to (((x+1))/((x+2)))^2=((x+2))/((x+4)) is x=-4/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = - \frac{4}{3}

Decimal Notation

x = - 1.33333 \dots

Solution steps

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

Cross multiply

x^{3} + 6 x^{2} + 9 x + 4 = x^{3} + 6 x^{2} + 12 x + 8

Move

4

to the right side

x^{3} + 6 x^{2} + 9 x = x^{3} + 6 x^{2} + 12 x + 4

Subtract

x^{3} + 6 x^{2} + 12 x

from both sides

x^{3} + 6 x^{2} + 9 x - (x^{3} + 6 x^{2} + 12 x) = x^{3} + 6 x^{2} + 12 x + 4 - (x^{3} + 6 x^{2} + 12 x)

Simplify

- 3 x = 4

Divide both sides by

- 3

x = - \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 4

Combine undefined points with solutions:

x = - \frac{4}{3}

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

\frac{9.99 - 0.99}{( 99 y - 9.9 )} = 9.09

\frac{x ^{2} + 16 x ^{2}}{( x - 4 ) ^{2}} = 180

\frac{( 6 - x )}{( x ^{2} - 4 )} = \frac{2 + x}{( x + 2 )}

\frac{( ( 2 x - 3 ) ( x - 1 ) - ( 2 x ^{2} + x + 1 ) )}{( 2 - x )} = \frac{7}{2}

What is the answer to (((x+1))/((x+2)))^2=((x+2))/((x+4)) ?
The answer to (((x+1))/((x+2)))^2=((x+2))/((x+4)) is x=-4/3
Solve for x: (((x+1))/((x+2)))^2=((x+2))/((x+4))
The solution is x=-4/3