What two numbers multiply to -501 and add up to 500?

Here we answer the question: "What two numbers multiply to -501 and add up to 500?"

The answer to your question is:

-1 and 501

Below we illustrate and prove that -1 and 501 multiply to -501 and add up to 500:

-1 × 501 = -501
-1 + 501 = 500

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

x² + 500x - 501 = 0

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

(x - 1 ) (x + 501)

To summarize, since -1 and 501 multiply to -501 and add up 500, you know that the following is true:

x² + 500x - 501 = (x - 1 ) (x + 501)

Multiply To One Number and Add Up To Another
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