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:

-1 and 500

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

-1 × 500 = -500
-1 + 500 = 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 - 1 ) (x + 500)

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

x² + 499x - 500 = (x - 1 ) (x + 500)

Multiply To One Number and Add Up To Another
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