SOLUTION: I have 3 questions that I absolutely cannot figure out for my review for a test. Please if you do not mind showing me how you figure this out I would appreciate it so I know how t

Algebra ->  Equations -> SOLUTION: I have 3 questions that I absolutely cannot figure out for my review for a test. Please if you do not mind showing me how you figure this out I would appreciate it so I know how t      Log On


   

Question 540743: I have 3 questions that I absolutely cannot figure out for my review for a test. Please if you do not mind showing me how you figure this out I would appreciate it so I know how to do the problem as well.
1/x+3 = 7x+4/x^2+4x+3 - 1/x+1
The way that I did that is it should read 1 over x+3 equals 7x plus 4 over x squared plus 4x plus 3 minus 1 over x+1
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%2B3%29+=+%28%287x%2B4%29%2F%28x%5E2%2B4x%2B3%29%29+-+1%2F%28x%2B1%29

Factorise x^2+4x+3
=x^2+3x+x+3
=x(x+3)+1(x+3)
=(x+1)(x+3)
1%2F%28x%2B3%29+=+%28%287x%2B4%29%2F%28%28x%2B3%29%28x%2B1%29%29%29+-+1%2F%28x%2B1%29
LCD of the equation = (x+1)(x+3)
multiply equation by (x+1)(x+3)

Cancel off the common terms
x+1=7x+4-x-3
5x=0
x=0
m.ananth@hotmail.ca