Answer:
Step-by-step explanation:
Let one number = x
The other number = (-8) - x
Their product = 7
x*( -8 - x) = 7
x*(-8) - x*x = 7
-8x - x² = 7
0 = 7 + 8x + x²
x² + 8x + 7 = 0
x² + 7x +x +7 = 0
x(x + 7) + (x+7) = 0
(x + 7)(x + 1) = 0
x + 7 = 0 ;x + 1 = 0
x = -7 ; x = -1
The two integers are: (-7) and (-1)