Of all the numbers whose difference is 34 , find the two that have the minimum product.
The two numbers whose difference is 34 and that have the minimum product are (Simplify your answer. Use a comma to separate answers as needed.)

Step 1 ：The problem is asking for two numbers whose difference is 34 and that have the minimum product.

Step 2 ：The product of two numbers is minimized when the numbers are as close to each other as possible.

Step 3 ：Therefore, the two numbers that satisfy these conditions are 17 and -17, because their difference is 34 and they are as close to each other as possible.

Step 4 ：Let's verify this: num1 = 17, num2 = -17, difference = 34, product = -289.

Step 5 ：The difference between the two numbers is indeed 34, and the product is -289. This is the minimum product possible for two numbers whose difference is 34, as any other pair of numbers with this difference would have a larger product.

Step 6 ：Final Answer: The two numbers whose difference is 34 and that have the minimum product are \(\boxed{17}\) and \(\boxed{-17}\).