What two numbers multiply to -1000 and add up to 195?

Here we answer the question: "What two numbers multiply to -1000 and add up to 195?"

The answer to your question is:

-5 and 200

Below we illustrate and prove that -5 and 200 multiply to -1000 and add up to 195:

-5 × 200 = -1000
-5 + 200 = 195

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

x² + 195x - 1000 = 0

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

(x - 5 ) (x + 200)

To summarize, since -5 and 200 multiply to -1000 and add up 195, you know that the following is true:

x² + 195x - 1000 = (x - 5 ) (x + 200)

Multiply To One Number and Add Up To Another
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