Question

What two integers have a sum of negative ten and a product of negative seventy five?

Answer 1

a+b=-10
ab=-75

a=-75/b
-75/b + b = -10

-75/b + b²/b = -10b/b
b²+10b-75=0

(b+15)(b-5)=0
b+15=0 or b-5=0,
b= -15, a=5