What two numbers multiply to 585 and add up to -122?

Here we answer the question: "What two numbers multiply to 585 and add up to -122?"

The answer to your question is:

-117 and -5

Below we illustrate and prove that -117 and -5 multiply to 585 and add up to -122:

-117 × -5 = 585
-117 + -5 = -122

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

x² - 122x + 585 = 0

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

(x - 117 ) (x - 5)

To summarize, since -117 and -5 multiply to 585 and add up -122, you know that the following is true:

x² - 122x + 585 = (x - 117 ) (x - 5)

Multiply To One Number and Add Up To Another
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