What two numbers multiply to 407 and add up to -408?

Here we answer the question: "What two numbers multiply to 407 and add up to -408?"

The answer to your question is:

-407 and -1

Below we illustrate and prove that -407 and -1 multiply to 407 and add up to -408:

-407 × -1 = 407
-407 + -1 = -408

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

x² - 408x + 407 = 0

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

(x - 407 ) (x - 1)

To summarize, since -407 and -1 multiply to 407 and add up -408, you know that the following is true:

x² - 408x + 407 = (x - 407 ) (x - 1)

Multiply To One Number and Add Up To Another
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