Question

Find a pair of integers qhose product is -15 and difference is 8

Answer 1

hey mate

let the integers be x,y

xy=-15=> x=-15/y

x-y=8

-15/y -y=8

-15-y^2=8y

y^2+8y+15=0

y^2+3y+5y+15=0

y(y+3)+5(y+3)=0

y=-3 or y=-5

x=5 or x=3.

hence pairs are (5,-3) and (3,-5).

hope it helps.

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