What two numbers multiply to -392 and add up to 49?

Here we answer the question: "What two numbers multiply to -392 and add up to 49?"

The answer to your question is:

-7 and 56

Below we illustrate and prove that -7 and 56 multiply to -392 and add up to 49:

-7 × 56 = -392
-7 + 56 = 49

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

x² + 49x - 392 = 0

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

(x - 7 ) (x + 56)

To summarize, since -7 and 56 multiply to -392 and add up 49, you know that the following is true:

x² + 49x - 392 = (x - 7 ) (x + 56)

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.