5. The sum of two integers is (-8). Their product is (+7). What are the two

integers?

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)