What two numbers multiply to 404 and add up to -405?

Here we answer the question: "What two numbers multiply to 404 and add up to -405?"

The answer to your question is:

-404 and -1

Below we illustrate and prove that -404 and -1 multiply to 404 and add up to -405:

-404 × -1 = 404
-404 + -1 = -405

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

x² - 405x + 404 = 0

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

(x - 404 ) (x - 1)

To summarize, since -404 and -1 multiply to 404 and add up -405, you know that the following is true:

x² - 405x + 404 = (x - 404 ) (x - 1)

Multiply To One Number and Add Up To Another
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