What two numbers multiply to -414 and add up to 413?

Here we answer the question: "What two numbers multiply to -414 and add up to 413?"

The answer to your question is:

-1 and 414

Below we illustrate and prove that -1 and 414 multiply to -414 and add up to 413:

-1 × 414 = -414
-1 + 414 = 413

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

x² + 413x - 414 = 0

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

(x - 1 ) (x + 414)

To summarize, since -1 and 414 multiply to -414 and add up 413, you know that the following is true:

x² + 413x - 414 = (x - 1 ) (x + 414)

Multiply To One Number and Add Up To Another
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