Algebra

 

What real value of $t$ produces the smallest value of the quadratic $t^2 -9t - 36 + 13t - 60$?          

 

Combine terms and arrange                                    t² + 4t – 96          

 

Take the first derivitive and set equal to zero          2t + 4  =  0    

                                                                                      2t  =  –4     

                                                                                        t   =  –2     

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