Question

find pair of integers whose product is -36 and whose diffrence is 15.

Answer 1

the pair of integers whose product is -36 and whose difference is 15 are 12 and -3

Answer 2

let the intigers be x and y

xy=-36 --(i)

x-y=15
x=15+y -- (ii)

from eq (i) and (ii) we get,
(15+y)y=-36

y^2 +15y -36 =0

y2+12y+3y-36

y(y-12)+ 3(y-12)

(y-12) (y+3)

y=12

x=27