SOLUTION: (6/a-x)+(1/x)= 5/x+9 ; solve for x. Thanks for your reply Sir/Ma'am!

Algebra ->  Rational-functions -> SOLUTION: (6/a-x)+(1/x)= 5/x+9 ; solve for x. Thanks for your reply Sir/Ma'am!      Log On


   

Question 1046193: (6/a-x)+(1/x)= 5/x+9 ; solve for x.
Thanks for your reply Sir/Ma'am!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Common denominator is ax, so multiply both sides by ax.

ax%286%2Fa-x%29%2Bax%281%2Fx%29=ax%285%2Fx%2B9%29

6x-ax%5E2%2Ba=5a%2B9ax

-ax%5E2%2B6x%2Ba-5a-9ax=0

-ax%5E2%2B6x-9ax-4a=0

ax%5E2%2B9ax-6x%2B4a=0

ax%5E2%2B3%283a-2%29x%2B4a=0
You need to use formula for the general solution to a quadratic equation.

x=%28-3%283a-2%29%2B-+sqrt%28%289a-6%29%5E2-4a%2A4a%29%29%2F%282a%29
and you should or would need to simplify this further as much as possible.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
(6/a-x)+(1/x)= 5/x+9 ; solve for x.
Thanks for your reply Sir/Ma'am!
Ambiguous! Use MORE parentheses and you may get the correct answer when/if someone responds. 

For example: Is a - x in the denominator or just a?