Question 263030: I need your help on this problem:
4t^2+9=12t
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need your help on this problem:
4t^2+9=12t
4t^2 - 12t + 9 = 0
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Think of two numbers whose product is 4*9 = 36
and whose sum is -12.
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The numbers are -6 and -6.
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Replace -12t by -6t-6t:
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4t^2 - 6t -6t +9 = 0
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Factor the 1st two and the last two terms separatel
2t(2t-3)-3(2t-3) = 0
Factor again:
(2t-3)(2t-3) = 0
t = 3/2 with multiplicity two.
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Cheers,
Stan H.
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