The sum of two integers is 8 and their product is - 20.

What are the integers?

The answer to your question is

x = - 2 and y = 10 or x = 10 and y = - 2

Step-by-step explanation:

x + y = 8 (1) from (1) x = 8 - y

xy = - 20 (2)

Solve them by substitution

(8 - y) y = - 20

8y - y² = - 20

y² - 8y - 20 = 0

(y - 10) (y + 2) = 0

y - 10 = 0 and y + 2 = 0

y1 = 10 y2 = - 2

x1 = 8 - 10 x2 = 8 - - 2

x1 = - 2 x2 = 10