SOLUTION: 10-1/t=9/t^2

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Question 146308: 10-1/t=9/t^2
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
10-1/t=9/t^2
10t^2-t=9 Multiply each side by LCM to eliminate fractions.
10t^2-t-9=0
10*-9=-90 What 2 factors of -90=-1? Ans: -10 & 9
10t^2-10t+9t-9=0
10t(t-1)+9(t-1)=0 Factoring by grouping.
(10t+9)(t-1)=0
10t=-9
t=-9/10
t=1
.
Ed