SOLUTION: I need to solve this rational equation t+5/t-2=t-2/t+4

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Question 411221: I need to solve this rational equation t+5/t-2=t-2/t+4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

t%2B5%2Ft-2=t-2%2Ft%2B4...if you have this, then

t%2B5%2Ft-2=t-2%2Ft%2B4...multiply by t

t%2At%2B5t%2Ft-2t=t%2At-2t%2Ft%2B4t

t%5E2%2B5-2t=t%5E2-2%2B4t

cross%28t%5E2%29%2B5-2t=cross%28t%5E2%29-2%2B4t

5-2t=-2%2B4t

5-2t%2B2t=-2%2B4t%2B2t

5=-2%2B6t

5%2B2=-2%2B2%2B6t

7=6t

7%2F6=t

1.17=t


%28t%2B5%29%2F%28t-2%29=%28t-2%29%2F%28t%2B4%29...but, if you have this, then

%28t%2B5%29%2F%28t-2%29=%28t-2%29%2F%28t%2B4%29..........cross multiply

%28t%2B5%29%28t%2B4%29=%28t-2%29%28t-2%29

t%5E2%2B4t%2B5t%2B20=t%5E-2t-2t%2B4

cross%28t%5E2%29%2B9t%2B20=cross%28t%5E2%29-4t%2B4

9t%2B20=-4t%2B4

9t%2B4t=-20%2B4

13t=-16

t=-16%2F13

t=-1.23