What two numbers multiply to -510 and add up to 509?

Here we answer the question: "What two numbers multiply to -510 and add up to 509?"

The answer to your question is:

-1 and 510

Below we illustrate and prove that -1 and 510 multiply to -510 and add up to 509:

-1 × 510 = -510
-1 + 510 = 509

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

x² + 509x - 510 = 0

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

(x - 1 ) (x + 510)

To summarize, since -1 and 510 multiply to -510 and add up 509, you know that the following is true:

x² + 509x - 510 = (x - 1 ) (x + 510)

Multiply To One Number and Add Up To Another
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