Question

What is the solution to the rational equation (5/x^2+3x+2)-(1/x+2)=(1/3x+3)

Answer 1

Hint:

Make sure the denominators are factored:

\(\large\frac{5}{(x+2)(x+1)} - \frac{1}{x+2} = \frac{1}{3(x+1)}\)

Then multiply each fraction by (x+1) to get
\(\large\frac{5}{(x+2)} - \frac{x+1}{x+2} = \frac{1}{3}\)

Answer 2

Then combine fractions on the left side and cross multiply afterwards

Answer 3

answers are:

x = 7

x = 5/2

x = 5

x = 4

Answer 4

Are you going to attempt to solve it this time? I think you should at least try.

Answer 5

This is your work, not mine.

Answer 6

i got -x^2+8x+12

Answer 7

by cross multiplying .

Answer 8

Did you combine fractions on the left side before cross multiply?

Answer 9

You keep getting quadratic equations when there is no need for such.

Answer 10

I can't imagine what it is that you are doing. Do you know how to combine two fractions?