What two numbers multiply to -200 and add up to 17?

Here we answer the question: "What two numbers multiply to -200 and add up to 17?"

The answer to your question is:

-8 and 25

Below we illustrate and prove that -8 and 25 multiply to -200 and add up to 17:

-8 × 25 = -200
-8 + 25 = 17

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

x² + 17x - 200 = 0

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

(x - 8 ) (x + 25)

To summarize, since -8 and 25 multiply to -200 and add up 17, you know that the following is true:

x² + 17x - 200 = (x - 8 ) (x + 25)

Multiply To One Number and Add Up To Another
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