FUNCTIONS 1

Find the maximum value of the quadratic equation:5-3t-8t².

Solution

a=-8, b=-3, c=5

Maximum = 4ac-b²

                        4a

Maximum = (4 x -8 x 5) - (-3)²

                          4(-8)

Maximum = (-160)- 9

                        -32

Maximum= -169                         since (-160)- 9= -169

                    -32

Maximum = 169

                     32       

Hence maximum value is 169/32

TRY THIS………………………………..

Find the maximum value of the quadratic equation:6+10t-4t².