For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second

x+y = -15   y = -15-x

 

xy=-34

x((-15-x) = -34

-x^2 -15x + 34 = 0

x^2 +15x -34 = 0

 

(x-2)(x+17) = 0          x = 2 and -17