SOLUTION: Please solve 1) 8/x+9=5/2x+(15/4) 2) (m+8/m^2+4m+3)-(8/m^2+6m+9)=m-8/m^2+4m+3

Algebra ->  Equations -> SOLUTION: Please solve 1) 8/x+9=5/2x+(15/4) 2) (m+8/m^2+4m+3)-(8/m^2+6m+9)=m-8/m^2+4m+3      Log On


   

Question 1059124: Please solve
1) 8/x+9=5/2x+(15/4)
2) (m+8/m^2+4m+3)-(8/m^2+6m+9)=m-8/m^2+4m+3
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
I will do only your first example, and assume your groupings are exactly as expressed.

8/x+9=5/2x+(15/4)

8%2Fx%2B9=%285%2F2%29x%2B%2815%2F4%29

4x%288%2Fx%2B9%29=4x%28%285%2F2%29x%2B%2815%2F4%29%29

32%2B36x=10x%5E2%2B15x

10x%5E2%2B15x-36x-32=0

10x%5E2-21x-32=0-------easier to use general formula solution than to try checking for factorization.

x=%2821%2B-+sqrt%2821%5E2-4%2A10%2A%28-32%29%29%29%2F%282%2A10%29

x=%28-21%2B-+sqrt%28441%2B320%29%29%2F%282%2A10%29

highlight%28x=%28-21%2B-+sqrt%28761%29%29%2F%2820%29%29, and the discriminant might but probably has no useful factorizations.