The sum of two integers is 81. if the product is 1088. what are the integers

(a; b) = { (17; 64); (64; 17) }

Step-by-step explanation:

a+b=81 = > b=81-a

a*b=1088

a * (81-a) = 1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a (a-64) - 17 (a-64) = 0

(a-17) (a-64) = 0

=> a=17 and a=64

for a=17 = > b=81-17=64

for a=64 = > b=81-64=17

(a; b) = { (17; 64); (64; 17) }