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:

-5 and 56

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

-5 × 56 = -280
-5 + 56 = 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 - 5 ) (x + 56)

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

x² + 51x - 280 = (x - 5 ) (x + 56)

Multiply To One Number and Add Up To Another
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