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

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

The answer to your question is:

-413 and -1

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

-413 × -1 = 413
-413 + -1 = -414

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

x² - 414x + 413 = 0

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

(x - 413 ) (x - 1)

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

x² - 414x + 413 = (x - 413 ) (x - 1)

Multiply To One Number and Add Up To Another
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