What two numbers multiply to 406 and add up to -407?

Here we answer the question: "What two numbers multiply to 406 and add up to -407?"

The answer to your question is:

-406 and -1

Below we illustrate and prove that -406 and -1 multiply to 406 and add up to -407:

-406 × -1 = 406
-406 + -1 = -407

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

x² - 407x + 406 = 0

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

(x - 406 ) (x - 1)

To summarize, since -406 and -1 multiply to 406 and add up -407, you know that the following is true:

x² - 407x + 406 = (x - 406 ) (x - 1)

Multiply To One Number and Add Up To Another
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