Answer:
the two numbers are -1 and 4
Step-by-step explanation:
set each number to some variable, I'll use x and y
given what we know, we know that
x*y = -4
x+y = 3
through algebraic manipulation, x= 3-y
(3-y)*y = -4
3y-y^2 = -4
[tex]-y^2+3y+4 = 0[/tex], now factor
(y-1)(-y+4) = 0
y = 1, 4
if y = 1:
x+1 = 3
x = 2
BUT 2 * 1 does not equal -4, so therefore 2 and 1 cannot be the solution
testing x = 4
x+4 = 3
x = -1
-1 * 4 = - 4
the two numbers are -1 and 4