What two numbers multiply to -204 and add up to -5?

Here we answer the question: "What two numbers multiply to -204 and add up to -5?"

The answer to your question is:

-17 and 12

Below we illustrate and prove that -17 and 12 multiply to -204 and add up to -5:

-17 × 12 = -204
-17 + 12 = -5

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

x² - 5x - 204 = 0

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

(x - 17 ) (x + 12)

To summarize, since -17 and 12 multiply to -204 and add up -5, you know that the following is true:

x² - 5x - 204 = (x - 17 ) (x + 12)

Multiply To One Number and Add Up To Another
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