What real value of t produces the smallest value of the quadratic t^2 -9t - 36 + t^2 - t + 24?
t^2 - 9t - 36 + t^2 - t + 24 simplify
2t^2 -10t -12
We have the form at^2 + bt + c
The value of t that produces the smallest value is - (b)/ (2a) = - (-10) / (2 *2) = 10 /4 = 2.5
according to https://www.desmos.com/calculator it looks like at T = 5