Question

Find the values of p

Answer 1

F(x) = -x² + 14x + p²
a = -1
b = 14
c = p²

y max = 74
(b² - 4ac)/(-4a) = 74
[14² - 4 . (-1) . p²]/[-4 . (-1)] = 74
(196 + 4p²)/4 = 74
196 + 4p² = 74 . 4
196 + 4p² = 296
4p² = 296 - 196
4p² = 100
p² = 100 : 4
p = ±√25
p = ±5