Question

write the pair of integer in which multiplication is(-45)and difference is 12​

Answer 1

Step-by-step explanation:

let the numbers be x and y

then, xy=-45

x=-45/y-------1

x+y=12--------2

substuite 1 in 2

-45/y-y=12

-45-y²/y=12

-45-y²=12y

-y²-12y-45=0(here it's a quadratic equation)

y=-3

substuite y= -3 in 2

x-(-3)=12

x-3=12

x=12+3

x=15

let's verify

xy=-3×15=-45

x+y=15+(-3)=15-3=12

hence sum over