What two numbers multiply to 1000 and add up to -502?

Here we answer the question: "What two numbers multiply to 1000 and add up to -502?"

The answer to your question is:

-500 and -2

Below we illustrate and prove that -500 and -2 multiply to 1000 and add up to -502:

-500 × -2 = 1000
-500 + -2 = -502

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

x² - 502x + 1000 = 0

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

(x - 500 ) (x - 2)

To summarize, since -500 and -2 multiply to 1000 and add up -502, you know that the following is true:

x² - 502x + 1000 = (x - 500 ) (x - 2)

Multiply To One Number and Add Up To Another
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