What two numbers multiply to -1000 and add up to -15?

Here we answer the question: "What two numbers multiply to -1000 and add up to -15?"

The answer to your question is:

-40 and 25

Below we illustrate and prove that -40 and 25 multiply to -1000 and add up to -15:

-40 × 25 = -1000
-40 + 25 = -15

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

x² - 15x - 1000 = 0

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

(x - 40 ) (x + 25)

To summarize, since -40 and 25 multiply to -1000 and add up -15, you know that the following is true:

x² - 15x - 1000 = (x - 40 ) (x + 25)

Multiply To One Number and Add Up To Another
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