Question

What two numbers add to -5 and multiply to 6

Answer 1

The two numbers that add to -5 and multiply to 6 are -2 and -3. They satisfy the rules of addition and multiplication for negative numbers, resulting in the required sum and product.

Step-by-step explanation:

To find the two numbers that add to -5 and multiply to 6, we need to set up a system of equations based on the sum and product. The sum of the two numbers is -5 and the product is 6.

Let the two numbers be x and y. Thus, we have the following equations:

1. x + y = -5
2. x * y = 6

We know from multiplication rules that if the product of two numbers is positive (6 in this case), both numbers must have the same sign. Since their sum is negative (-5), both numbers must be negative. This adheres to the rule that when two negative numbers add, the answer has a −ve sign, e.g., (-4) + (-1) = -5.

Let's assume the two numbers are -2 and -3. We see that:

• -2 + (-3) = -5
• -2 * -3 = 6

Therefore, the two numbers are -2 and -3.

Answer 2

since the sum is negative, and the product is positive, they both have to be negative numbers. because (-)*(-) = +. and (-) + (-) = -.

now the number -5 can be the sum of -1-4 or -2-3, try which to you multiply to get 6.

the two numbers are -2 and -3