What two numbers multiply to -680 and add up to 23?

Here we answer the question: "What two numbers multiply to -680 and add up to 23?"

The answer to your question is:

-17 and 40

Below we illustrate and prove that -17 and 40 multiply to -680 and add up to 23:

-17 × 40 = -680
-17 + 40 = 23

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

x² + 23x - 680 = 0

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

(x - 17 ) (x + 40)

To summarize, since -17 and 40 multiply to -680 and add up 23, you know that the following is true:

x² + 23x - 680 = (x - 17 ) (x + 40)

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.