What two numbers multiply to -412 and add up to 204?

Here we answer the question: "What two numbers multiply to -412 and add up to 204?"

The answer to your question is:

-2 and 206

Below we illustrate and prove that -2 and 206 multiply to -412 and add up to 204:

-2 × 206 = -412
-2 + 206 = 204

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

x² + 204x - 412 = 0

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

(x - 2 ) (x + 206)

To summarize, since -2 and 206 multiply to -412 and add up 204, you know that the following is true:

x² + 204x - 412 = (x - 2 ) (x + 206)

Multiply To One Number and Add Up To Another
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