Question

What two numbers give me a product of 75 and a sum of -28

Answer 1

xy=75 and x+y=-28
Rearrange the second equation to get x=-y-28.
Substitute this into the first equation to get -y(y+28)=75.
Expand and take over to RHS: y^2 +28y+75=0.
Solve using quadratic equation:
y=-3 and -25
Substitute this back into the second equation:
When y=-3, x=-25
When y=-25, x=3

Answer 2

negative 25 and negative 3

Answer 3

Not sure how to edit my post, but I made a typo at the end. (It should be y=-25 and x=-3 again).