Find two integers that have a sum of –14 and a product of –15. What is one of the integers?

Answer 1

X + Y = -14

XY = -15

X ( -14 - X) = -15

-14X - x^2 = -15

-14x - x^2 + 15 = 0

x^2 + 14x - 15 = 0

( x + 15 )(x - 1 ) = 0

x+15 = 0 or x-1 = 0

x = -15 x =1

-15 + 1 = -14

-15 * 1 = -15