SOLUTION: solve t/5-5/t=0 The solutions are ____ ? Or the equation has no solution?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: solve t/5-5/t=0 The solutions are ____ ? Or the equation has no solution?      Log On


   

Question 387749: solve t/5-5/t=0 The solutions are ____ ? Or the equation has no solution?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
t%2F5+-+5%2Ft+=+0 Subtract the fractions. The LCD is 5t
t%5E2%2F5t+-+25%2F5t+=+0 Simplify.
%28t%5E2-25%29%2F5t+=+0 Multiply by 5t.
t%5E2-25+=+0 Factor the difference of squares binomial.
%28t%2B5%29%28t-5%29+=+0 Apply the zero product rule.
t%2B5+=+0 or t-5+=+0 so that...
t+=+-5 or t+=+5
The solutions are:
t+=+-5, t+=+5