What two numbers multiply to -509 and add up to 508?

Here we answer the question: "What two numbers multiply to -509 and add up to 508?"

The answer to your question is:

-1 and 509

Below we illustrate and prove that -1 and 509 multiply to -509 and add up to 508:

-1 × 509 = -509
-1 + 509 = 508

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

x² + 508x - 509 = 0

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

(x - 1 ) (x + 509)

To summarize, since -1 and 509 multiply to -509 and add up 508, you know that the following is true:

x² + 508x - 509 = (x - 1 ) (x + 509)

Multiply To One Number and Add Up To Another
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