Question

What two numbers times to get -45 and add to get 4

Answer 1

9 and -5
The only way to get a negative is to also have positive

Answer 2

9 and -5

Explanation:

The only way to get a negative product is from one number to be negative and the other to be positive. And with that in mind, the only way to get positive 4 as a product is to have 9 be the positive number.