What two numbers multiply to -504 and add up to 3?

Here we answer the question: "What two numbers multiply to -504 and add up to 3?"

The answer to your question is:

-21 and 24

Below we illustrate and prove that -21 and 24 multiply to -504 and add up to 3:

-21 × 24 = -504
-21 + 24 = 3

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

x² + 3x - 504 = 0

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

(x - 21 ) (x + 24)

To summarize, since -21 and 24 multiply to -504 and add up 3, you know that the following is true:

x² + 3x - 504 = (x - 21 ) (x + 24)

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.