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I will not be posting again on this page, because before another guest faked being me, so even if I say nevermind, I am going to post, IT IS NOT ME-- unless it's heartSTORM. So here's my problem:

 

What real value of $t$ produces the smallest value of the quadratic $t^2 -9t - 36$?

 

Thank you SO SO SO much!!!

 Dec 6, 2020
 #1
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Maxmimal value of ax^2 + bx + c is when x = -b/a

 

t^2 - 9t - 36 = 0

max t = 9/1 = 9

quadratic is maximized when t = 9

 Dec 6, 2020
 #2
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that's incorrect... sorry

 Dec 6, 2020
 #3
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t^2 - 9t -36    is a bowl shaped parabola

   min will occur at   t = - b/2a    =    -  -9/2   = 4.5

 Dec 6, 2020

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