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:

-25 and 40

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

-25 × 40 = -1000
-25 + 40 = 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 - 25 ) (x + 40)

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

x² + 15x - 1000 = (x - 25 ) (x + 40)

Multiply To One Number and Add Up To Another
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