What two numbers multiply to 684 and add up to -56?

Here we answer the question: "What two numbers multiply to 684 and add up to -56?"

The answer to your question is:

-38 and -18

Below we illustrate and prove that -38 and -18 multiply to 684 and add up to -56:

-38 × -18 = 684
-38 + -18 = -56

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

x² - 56x + 684 = 0

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

(x - 38 ) (x - 18)

To summarize, since -38 and -18 multiply to 684 and add up -56, you know that the following is true:

x² - 56x + 684 = (x - 38 ) (x - 18)

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.