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What real value of  produces the smallest value of the quadratic t^2 - 9t - 36 + 7t - 20?

 Apr 17, 2021
 #1
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What real value of t produces the smallest value of the quadratic t^2 - 9t - 36 + 7t - 20?

 Apr 17, 2021
 #2
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t^2 - 9t - 36 + 7t - 20

t^2 -2t - 56 = 0                Is a bowl shaped parabola ...the minimum value will occur at  t = - b/2a =   - -2/2 =1

                                       (  If needed:   use this value fo t in the equation to compute the minimum value of the fxn)

 Apr 17, 2021

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