What two numbers multiply to -1000 and add up to -498?

Here we answer the question: "What two numbers multiply to -1000 and add up to -498?"

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 -498:

-500 × 2 = -1000
-500 + 2 = -498

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

x² - 498x - 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 -498, you know that the following is true:

x² - 498x - 1000 = (x - 500 ) (x + 2)

Multiply To One Number and Add Up To Another
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