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

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

The answer to your question is:

-500 and 1

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

-500 × 1 = -500
-500 + 1 = -499

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

x² - 499x - 500 = 0

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

(x - 500 ) (x + 1)

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

x² - 499x - 500 = (x - 500 ) (x + 1)

Multiply To One Number and Add Up To Another
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