What two numbers multiply to -280 and add up to -51?

Here we answer the question: "What two numbers multiply to -280 and add up to -51?"

The answer to your question is:

-56 and 5

Below we illustrate and prove that -56 and 5 multiply to -280 and add up to -51:

-56 × 5 = -280
-56 + 5 = -51

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

x² - 51x - 280 = 0

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

(x - 56 ) (x + 5)

To summarize, since -56 and 5 multiply to -280 and add up -51, you know that the following is true:

x² - 51x - 280 = (x - 56 ) (x + 5)

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.