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:

-4 and 51

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

-4 × 51 = -204
-4 + 51 = 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 - 4 ) (x + 51)

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

x² + 47x - 204 = (x - 4 ) (x + 51)

Multiply To One Number and Add Up To Another
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