What two numbers multiply to 405 and add up to -54?

Here we answer the question: "What two numbers multiply to 405 and add up to -54?"

The answer to your question is:

-45 and -9

Below we illustrate and prove that -45 and -9 multiply to 405 and add up to -54:

-45 × -9 = 405
-45 + -9 = -54

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

x² - 54x + 405 = 0

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

(x - 45 ) (x - 9)

To summarize, since -45 and -9 multiply to 405 and add up -54, you know that the following is true:

x² - 54x + 405 = (x - 45 ) (x - 9)

Multiply To One Number and Add Up To Another
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