What two numbers multiply to 504 and add up to -65?

Here we answer the question: "What two numbers multiply to 504 and add up to -65?"

The answer to your question is:

-56 and -9

Below we illustrate and prove that -56 and -9 multiply to 504 and add up to -65:

-56 × -9 = 504
-56 + -9 = -65

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

x² - 65x + 504 = 0

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

(x - 56 ) (x - 9)

To summarize, since -56 and -9 multiply to 504 and add up -65, you know that the following is true:

x² - 65x + 504 = (x - 56 ) (x - 9)

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.