SOLUTION: Solve. t/3 - 3/t = 0 Does t = 0? I've been having alot of difficulty with the last couple of chapters in my class. Sometimes I think I get it and then I realize I don't h

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve. t/3 - 3/t = 0 Does t = 0? I've been having alot of difficulty with the last couple of chapters in my class. Sometimes I think I get it and then I realize I don't h      Log On


   

Question 127292: Solve.
t/3 - 3/t = 0
Does t = 0? I've been having alot of difficulty with the last couple of chapters in my class. Sometimes I think I get it and then I realize I don't have a clue.
I appreciate the help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
t%2F3+-+3%2Ft+=+0 Start with the given equation


3t%28t%2Fcross%283%29+-+3%2Fcross%28t%29%29+=+3t%280%29 Multiply both sides by the LCD 3t. This will eliminate the fractions.


t%5E2-9+=+0 Distribute and multiply

%28t%2B3%29%28t-3%29=0 Factor the left side


Now set each factor equal to zero:
t%2B3=0 or t-3=0

t=-3 or t=3 Now solve for t in each case


So our answer is
t=-3 or t=3