The product is positive, so the two numbers are either both positive or both negative.
The sum is negative, so both numbers are negative.
Now ignore the signs for the moment and find two (positive) numbers with a sum of 11 and a product of 28. Then use those two numbers but make them both negative. Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website! .
The formulation of this problem in your post is defective.
The correct version is THIS
Find two numbers whose product is 28 and the sum is -11.
or THIS
What are two numbers that multiply to 28 and sum up to -11.