What two numbers have the sum of 2 and product of - 48

-6 and + 8

Step-by-step explanation:

Hi there,

The best way to think about these is the fact that the sum is very small, but the product is big. So, these numbers must:

1. have a large absolute difference, since their sum is so small

2. the numbers are relatively close to each other in magnitude. Otherwise, you wouldn't get such a big product.

-6 * 8 = - 48

-6 + 8 = + 2

This makes sense, because they have a large absolute difference of 14 (8+6). Also, as absolute value + 6 and + 8 are pretty close to each other.

Keep practicing and have fun.