The product of two numbers is 225 but their sun is - 30 what are these two numbers

a = - 45

b = 15

Step-by-step explanation:

The 1st number is a, and the 2nd is b.

ab=225 (1)

a+b=-30 (2)

(2) a = - 30 - b

Replace a with - 30 - b in (1):

(-30-b) b = 225

-b^2 + 30b = 225

b^2 - 30b + 225 = 0

b^2 - 2.15. b + 15^2 = 0

(b-15) ^2 = 0

=> b = 15

a = - 30 - b = - 30 - 15 = - 45