10 ! i have been stuck on this for about 7 hours now.

complete the square on the following quadratic.

1. x^2 + 16x + 9 = 0 and 2. x^2 + 16x + 7 = 0

what value is added to both sides of the equation?

X² + 16x + 9 = 0
x² + 16x + 9 + 55 = 0 + 55   add 55 to both sides
x² + 16x + 64 = 55
(x+8)² = 55

x² + 16x + 7 = 0
x² + 16x + 7 + 57 = 0 + 57   add 57 to both sides
x² + 16x + 64 = 57
(x+8)² = 57

Explanation:
(x+b)² = x² + 2xb + b²
For the first equation:
2xb = 16x and you need to find b²
If 2xb=16x then b=16x/2x = 8  and b² = 8² = 64
64-9 = 55
So, you must add 55 to both sides of the equation to complete the square.

P0000000000p genafhysjq each e yeh wy