There is no pair of numbers whose product is 30 and whose sum is 1.
-In order for the product to be 30, both numbers must be positive or both must be negative. However, since the sum is positive 1, both numbers must be positive.
-In order for the sum to be 1, both numbers must be less than 1. This is proven by a+b=1, where a=1-b and b=1-a. However, if both numbers are less than 1, then the product of the numbers must be less than one. This means that the product cannot equal 30
Therefore, it is not possible for a pair of numbers to have a product of 30 and a sum of 1.
The two numbers are -2 and -15
-10 and -3