What two numbers multiply to -204 and add up to -47?

Here we answer the question: "What two numbers multiply to -204 and add up to -47?"

The answer to your question is:

-51 and 4

Below we illustrate and prove that -51 and 4 multiply to -204 and add up to -47:

-51 × 4 = -204
-51 + 4 = -47

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

x² - 47x - 204 = 0

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

(x - 51 ) (x + 4)

To summarize, since -51 and 4 multiply to -204 and add up -47, you know that the following is true:

x² - 47x - 204 = (x - 51 ) (x + 4)

Multiply To One Number and Add Up To Another
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