What two numbers multiply to -220 and add up to 51?

Here we answer the question: "What two numbers multiply to -220 and add up to 51?"

The answer to your question is:

-4 and 55

Below we illustrate and prove that -4 and 55 multiply to -220 and add up to 51:

-4 × 55 = -220
-4 + 55 = 51

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

x² + 51x - 220 = 0

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

(x - 4 ) (x + 55)

To summarize, since -4 and 55 multiply to -220 and add up 51, you know that the following is true:

x² + 51x - 220 = (x - 4 ) (x + 55)

Multiply To One Number and Add Up To Another
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