SOLUTION: Solve. {{{(72t^2+t)^2-74(72t^2+t)+73=0}}}

Algebra ->  Equations -> SOLUTION: Solve. {{{(72t^2+t)^2-74(72t^2+t)+73=0}}}      Log On


   

Question 627816: Solve.
%2872t%5E2%2Bt%29%5E2-74%2872t%5E2%2Bt%29%2B73=0
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Let x+=+72t%5E2+%2B+t
x%5E2+-+74x+%2B+73+=+0
%28x+-+1%29%28x+-+73%29+=+0
x = 1 or x = 73
Therefore
72t%5E2+%2B+t+=+1 or 72t%5E2+%2B+t+=+73
Solve 72t%5E2+%2B+t+=+1
72t%5E2+%2B+t+-+1+=+0
%288t+%2B+1%29%289t+-+1%29+=+0
t = -1/8, 1/9
Solve 72t%5E2+%2B+t+=+73
72t%5E2+%2B+t+-+73+=+0
%2872t+%2B+73%29%28t+-+1%29+=+0
t = -73/72, 1
Answer: The solutions are -1/8, 1/9, -73/72, 1