What two numbers multiply to 999 and add up to -1000?

Here we answer the question: "What two numbers multiply to 999 and add up to -1000?"

The answer to your question is:

-999 and -1

Below we illustrate and prove that -999 and -1 multiply to 999 and add up to -1000:

-999 × -1 = 999
-999 + -1 = -1000

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

x² - 1000x + 999 = 0

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

(x - 999 ) (x - 1)

To summarize, since -999 and -1 multiply to 999 and add up -1000, you know that the following is true:

x² - 1000x + 999 = (x - 999 ) (x - 1)

Multiply To One Number and Add Up To Another
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