What two numbers multiply to -511 and add up to 510?

Here we answer the question: "What two numbers multiply to -511 and add up to 510?"

The answer to your question is:

-1 and 511

Below we illustrate and prove that -1 and 511 multiply to -511 and add up to 510:

-1 × 511 = -511
-1 + 511 = 510

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

x² + 510x - 511 = 0

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

(x - 1 ) (x + 511)

To summarize, since -1 and 511 multiply to -511 and add up 510, you know that the following is true:

x² + 510x - 511 = (x - 1 ) (x + 511)

Multiply To One Number and Add Up To Another
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