Answer:
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
