What is the answer to x/(x+4)=(32)/(x^2-16)+3 ?

The answer to x/(x+4)=(32)/(x^2-16)+3 is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x/(x+4)=(32)/(x^2-16)+3

\frac{x}{x + 4} = \frac{32}{x ^{2} - 16} + 3

x = 2

Solution steps

\frac{x}{x + 4} = \frac{32}{x ^{2} - 16} + 3

Multiply by LCM

x (x - 4) = 32 + 3 (x + 4) (x - 4)

Solve

x (x - 4) = 32 + 3 (x + 4) (x - 4) : x = - 4, x = 2

x = - 4, x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 4

Since the equation is undefined for:

- 4

x = 2

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

\frac{60 + 120 + 50 x}{10 + x} = 34

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

\frac{3}{x + 1} = \frac{2}{x + 3}

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

What is the answer to x/(x+4)=(32)/(x^2-16)+3 ?
The answer to x/(x+4)=(32)/(x^2-16)+3 is x=2
Solve for x: x/(x+4)=(32)/(x^2-16)+3
The solution is x=2