What two numbers multiply to 509 and add up to -510?

Here we answer the question: "What two numbers multiply to 509 and add up to -510?"

The answer to your question is:

-509 and -1

Below we illustrate and prove that -509 and -1 multiply to 509 and add up to -510:

-509 × -1 = 509
-509 + -1 = -510

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

x² - 510x + 509 = 0

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

(x - 509 ) (x - 1)

To summarize, since -509 and -1 multiply to 509 and add up -510, you know that the following is true:

x² - 510x + 509 = (x - 509 ) (x - 1)

Multiply To One Number and Add Up To Another
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