SOLUTION: Hello, i need help on solving this equation. I dont even know where to start. t-2/t-1= t+17/t^(2)-1 - 1/t+1 Im kind of new at this but the problem is read: t minus 2 over t m

Algebra ->  Equations -> SOLUTION: Hello, i need help on solving this equation. I dont even know where to start. t-2/t-1= t+17/t^(2)-1 - 1/t+1 Im kind of new at this but the problem is read: t minus 2 over t m      Log On


   

Question 374977: Hello, i need help on solving this equation. I dont even know where to start.
t-2/t-1= t+17/t^(2)-1 - 1/t+1
Im kind of new at this but the problem is read: t minus 2 over t minus 1 equals t plus 17 over t squared minus 1 over t plus one.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28t-2%29%2F%28t-1%29 = %28t%2B17%29%2F%28t%5E%282%29-1%29 - 1%2F%28t%2B1%29
Factoring (t^2-1) as the difference of squares, reveals the common denominator of (t-1)(t+1
%28t-2%29%2F%28t-1%29 = %28t%2B17%29%2F%28%28t%2B1%29%28t-1%29%29 - 1%2F%28t%2B1%29
:
Multiply thru by (t+1)(t-1) and you have:
(t+1)(t-2) = t + 17 - (t-1)
:
FOIL the left side remove the brackets on the right side
t^2 - t - 2 = t + 17 - t + 1
:
t^2 - t - 2 = 18
:
t^2 - t - 2 - 18 = 0
:
t^2 - t - 20 = 0
Factors to
(x-5)(x+4) = 0
two solutions
x = -4
x = +5
:
You can check both solutions in the original problem