Question

What is the solution to the rational equation 5 over x squared plus 3x plus 2 + 1 over x plus 2 = 1 over 3x plus 3

Answer 1

\(\dfrac{5}{x^2+3x+2}+\dfrac{1}{x+2}=\dfrac{1}{3+3x}\) ??

Answer 2

Factor it, find an LCD, add up all the fractions, then see what you get.

Answer 3

i forgot i had to factor it

Answer 4

thanks i got it from here

Answer 5

Ah, Kk. Yah, for the LCD.

\(\dfrac{5}{(x+1)(x+2)}+\dfrac{1}{x+2}=\dfrac{1}{3(x+1)}\)

The nice thing about the simple ones is the other terms give clues on the factoring.