Answer:
p = - 11, p = 3
Step-by-step explanation:
Given
p² + 8p - 33 = 0 ( add 33 to both sides )
p² + 8p = 33
To complete the square
add ( half the coefficient of the p- term )² to both sides
p² + 2(4)p + 16 = 33 + 16
(p + 4)² = 49 ( take the square root of both sides )
p + 4 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 4 from both sides )
p = - 4 ± 7
Thus
p = - 4 - 7 = - 11
p = - 4 + 7 = 3
