What two numbers multiply to 499 and add up to -500?

Here we answer the question: "What two numbers multiply to 499 and add up to -500?"

The answer to your question is:

-499 and -1

Below we illustrate and prove that -499 and -1 multiply to 499 and add up to -500:

-499 × -1 = 499
-499 + -1 = -500

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

x² - 500x + 499 = 0

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

(x - 499 ) (x - 1)

To summarize, since -499 and -1 multiply to 499 and add up -500, you know that the following is true:

x² - 500x + 499 = (x - 499 ) (x - 1)

Multiply To One Number and Add Up To Another
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