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:

-12 and 17

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

-12 × 17 = -204
-12 + 17 = 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 - 12 ) (x + 17)

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

x² + 5x - 204 = (x - 12 ) (x + 17)

Multiply To One Number and Add Up To Another
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