SOLUTION: Solve the equation: (2)/(3-t)+(1)/(3+t)+(1)/(9-t^2)=0 Thank you!!

Algebra ->  Equations -> SOLUTION: Solve the equation: (2)/(3-t)+(1)/(3+t)+(1)/(9-t^2)=0 Thank you!!      Log On


   

Question 769297: Solve the equation:
(2)/(3-t)+(1)/(3+t)+(1)/(9-t^2)=0

Thank you!!
Found 2 solutions by DrBeeee, lwsshak3:
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
(1) 2/(3-t) + 1/(3+t) + 1/(9-t^2) = 0
Note that the denominator of the third term factors into
(2) 9-t^2 = (3+t)*(3-t)
If we multiply both sides of (1) by (2) we get
(3) 2*(3+t) + (3-t) +1 = 0 or
(4) 6+2t +3-t +1 = 0 or
(5) t + 10 = 0 or
(6) t = -10
Is (2/13 + 1/(-7) - 1/91 = 0)?
Is (14/91 - 13/91 - 1/91 = 0)?
Is (1/91 - 1/91 = 0)?
Is (0 = 0)? Yes
Answer: t = -10

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation:
(2)/(3-t)+(1)/(3+t)+(1)/(9-t^2)=0
2%2F%283-t%29%2B1%2F%283%2Bt%29%2B1%2F%283-t%29%283%2Bt%29=0
LCD:(3+t)(3-t)
2%283%2Bt%29%2B%283-t%29%2B1=0
6%2B2t%2B3-t%2B1=0
t+10=0
t=-10