What two numbers multiply to -56 and add up to 55?

Here we answer the question: "What two numbers multiply to -56 and add up to 55?"

The answer to your question is:

-1 and 56

Below we illustrate and prove that -1 and 56 multiply to -56 and add up to 55:

-1 × 56 = -56
-1 + 56 = 55

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

x² + 55x - 56 = 0

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

(x - 1 ) (x + 56)

To summarize, since -1 and 56 multiply to -56 and add up 55, you know that the following is true:

x² + 55x - 56 = (x - 1 ) (x + 56)

Multiply To One Number and Add Up To Another
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