Answer:
-1, -4
Step-by-step explanation:
x + y = -5
x×y = 4
=>
x = -5 - y
=> (-5 - y) × y = 4
-5y - y² = 4
y² + 5y + 4 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 5
c = 4
x = (-5 ± sqrt(25 - 16))/2 = (-5 ± 3)/2
=> x = -2/2 = -1 or x = -8/2 = -4
=> y = 4/-1 = -4 or y = 4/-4 = -1
since the sequence in an addition and multiplication does not make any difference, the two numbers are simply -1 and -4
