Precalculus find two numbers whose product is -16 such that the sum of their squares is as small as possible

The answer is -4 and 4, since if you multiply the two, you get the product “-16” and if you add the squares of the two, you would get 32. The other options would be +or- 16 and 1, or 8 and 2, but adding the squares of those would result in a number larger than 32, therefore, the answers are 4 and -4.

4 and -4