What two numbers multiply to 500 and add up to 105?

Here we answer the question: "What two numbers multiply to 500 and add up to 105?"

The answer to your question is:

5 and 100

Below we illustrate and prove that 5 and 100 multiply to 500 and add up to 105:

5 × 100 = 500
5 + 100 = 105

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 105x + 500 = 0

If so, the solution to factor the quadratic equation above is:

(x + 5 ) (x + 100)

To summarize, since 5 and 100 multiply to 500 and add up 105, you know that the following is true:

x² + 105x + 500 = (x + 5 ) (x + 100)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.