What two numbers multiply to -1000 and add up to -117?

Here we answer the question: "What two numbers multiply to -1000 and add up to -117?"

The answer to your question is:

-125 and 8

Below we illustrate and prove that -125 and 8 multiply to -1000 and add up to -117:

-125 × 8 = -1000
-125 + 8 = -117

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

x² - 117x - 1000 = 0

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

(x - 125 ) (x + 8)

To summarize, since -125 and 8 multiply to -1000 and add up -117, you know that the following is true:

x² - 117x - 1000 = (x - 125 ) (x + 8)

Multiply To One Number and Add Up To Another
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