What two numbers multiply to 405 and add up to -406?

Here we answer the question: "What two numbers multiply to 405 and add up to -406?"

The answer to your question is:

-405 and -1

Below we illustrate and prove that -405 and -1 multiply to 405 and add up to -406:

-405 × -1 = 405
-405 + -1 = -406

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

x² - 406x + 405 = 0

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

(x - 405 ) (x - 1)

To summarize, since -405 and -1 multiply to 405 and add up -406, you know that the following is true:

x² - 406x + 405 = (x - 405 ) (x - 1)

Multiply To One Number and Add Up To Another
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