Question

Show a pair of integers whose product is - 36 and whose difference is 15

Answer 1

product = -12×3 = -36.
difference = -12-3 = 15.

Answer 2

let the two integer be x and y.

= xy= -36
and,x-y = 15...........(i)

Now ,(x-y)²= x²+y²-2xy
= 15²= x²+y²+72
= 625-72= x²+y²
= 553= x²+y²
= 553 = (x+y)²-2xy
= 553- 72 = (x+y)²
= 481 = (x+y)²
=√481 = x+y
=21.9= x+y ........(ii)
so ,solving equation (i) and (ii)
x= 18