What two numbers multiply to 585 and add up to -74?

Here we answer the question: "What two numbers multiply to 585 and add up to -74?"

The answer to your question is:

-65 and -9

Below we illustrate and prove that -65 and -9 multiply to 585 and add up to -74:

-65 × -9 = 585
-65 + -9 = -74

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

x² - 74x + 585 = 0

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

(x - 65 ) (x - 9)

To summarize, since -65 and -9 multiply to 585 and add up -74, you know that the following is true:

x² - 74x + 585 = (x - 65 ) (x - 9)

Multiply To One Number and Add Up To Another
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