What two numbers multiply to -512 and add up to 511?

Here we answer the question: "What two numbers multiply to -512 and add up to 511?"

The answer to your question is:

-1 and 512

Below we illustrate and prove that -1 and 512 multiply to -512 and add up to 511:

-1 × 512 = -512
-1 + 512 = 511

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

x² + 511x - 512 = 0

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

(x - 1 ) (x + 512)

To summarize, since -1 and 512 multiply to -512 and add up 511, you know that the following is true:

x² + 511x - 512 = (x - 1 ) (x + 512)

Multiply To One Number and Add Up To Another
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