two numbers have products of 30 and their sum is -11

Answer 1

x+y =-11, xy = 30

y=30/x

x +30/x = -11

x^2 +30 = -11x

x^2 +11x = 30

(x+6)(x+5) = 0

x =-5 or -6

y = -6 or -5

the numbers are -6 and -5

they sum to -11

their product = 30

Answer 2

x+y =-11, xy = 30

y=30/x

x +30/x = -11

x^2 +30 = -11x

x^2 +11x = 30

(x+6)(x+5) = 0

x =-5 or -6

y = -6 or -5

the numbers are -6 and -5

they sum to -11

their product = 30