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

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

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 -501:

-500 × -1 = 500
-500 + -1 = -501

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

x² - 501x + 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 -501, you know that the following is true:

x² - 501x + 500 = (x - 500 ) (x - 1)

Multiply To One Number and Add Up To Another
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