Final answer:
To find two numbers whose difference is 88 and whose product is a minimum, we can use quadratic equations. The two numbers that meet the given conditions are 44 and 132.
Step-by-step explanation:
In order to find two numbers whose difference is 88 and whose product is a minimum, we can use the concept of quadratic equations. Let's represent the numbers as x and y.
Given that the difference between the numbers is 88, we can write the equation:
x - y = 88
To minimize the product of the numbers, we need to minimize xy. This can be achieved by finding the average of the two numbers, which will be the optimal solution. Therefore, the two numbers that meet the given conditions are 44 and 132.