Final answer:
To find two numbers whose product is -5 and sum is -4, solve a system of equations. The two numbers are 1 and -3, or -5 and 1.
Step-by-step explanation:
To find two numbers whose product is -5 and sum is -4, we can set up a system of equations. Let the two numbers be x and y. We have the equations:
x * y = -5
x + y = -4
From the second equation, we can rewrite it as y = -4 - x. Substituting this into the first equation, we get x * (-4 - x) = -5. Simplifying this equation gives us x^2 + 4x - 5 = 0. Solving this quadratic equation, we find two possible values for x: x = 1 and x = -5.
Substituting these values back into the second equation, we find that the corresponding values for y are: y = -3 and y = 1, respectively.