What two numbers multiply to -512 and add up to 254?

Here we answer the question: "What two numbers multiply to -512 and add up to 254?"

The answer to your question is:

-2 and 256

Below we illustrate and prove that -2 and 256 multiply to -512 and add up to 254:

-2 × 256 = -512
-2 + 256 = 254

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

x² + 254x - 512 = 0

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

(x - 2 ) (x + 256)

To summarize, since -2 and 256 multiply to -512 and add up 254, you know that the following is true:

x² + 254x - 512 = (x - 2 ) (x + 256)

Multiply To One Number and Add Up To Another
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