Answer:
p = 8 when b = 16 and p = -8 when
b = -16
Step-by-step explanation:
x² + bx + 64 = x² + 2px + p²
Cancel x² on both sides,
bx + 64 = 2px + p²
Now, by comparing both sides, you'll get the following equations,
1. b = 2p
2. p² = 64
From equation (2),
p = ±√64
= 8 or -8
Substitute p = 8 and p = -8 into equation (1),
b = 2(8) and b = 2(-8)
b = 2(8) and b = 2(-8) = 16 = -16
Therefore, p = 8 when b = 16 and p = -8 when
b = -16
