FUNCTIONS 3

Find the maximum value of the quadratic equation:3-6t+8t².

Solution

a=8, b=-6, c=3

Maximum = 4ac-b²

                       4a

Maximum = (4x8x3)-(-6)²

                         4(8)

Maximum = (96)- 36

                        32

Maximum= 60

                    32

Maximum = 15

                     8

Hence maximum value is 15/8

TRY THIS………………………………..

NECTA  2003 QN. 10c

Find the maximum value of the quadratic equation:3+30t-5t².