What two numbers multiply to -420 and add up to 419?

Here we answer the question: "What two numbers multiply to -420 and add up to 419?"

The answer to your question is:

-1 and 420

Below we illustrate and prove that -1 and 420 multiply to -420 and add up to 419:

-1 × 420 = -420
-1 + 420 = 419

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

x² + 419x - 420 = 0

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

(x - 1 ) (x + 420)

To summarize, since -1 and 420 multiply to -420 and add up 419, you know that the following is true:

x² + 419x - 420 = (x - 1 ) (x + 420)

Multiply To One Number and Add Up To Another
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