Question

Find the integer pair that has the given product and sum. The product is 28 The sum is 11​

Answer 1

4 and 7

Explanation:

xy = 28 ..........1

x + y = 11........2

x = 11 - y.........3

substitute 3 in 1:

(11 - y)*y = 28

-y² + 11y - 28 = 0

y² - 11y + 28 = 0

( y - 7)( y - 4) = 0

y = 7 or y = 4

subs in 2:

x = 4 or x = 7

pairs: (4 ; 7) and (7 ; 4)

Answer 2

7 and 4

Explanation:

when you multiply 7×4 the answer is 28 and when you add them the answer is 11.

I hope this helps