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

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

The answer to your question is:

-508 and -1

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

-508 × -1 = 508
-508 + -1 = -509

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

x² - 509x + 508 = 0

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

(x - 508 ) (x - 1)

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

x² - 509x + 508 = (x - 508 ) (x - 1)

Multiply To One Number and Add Up To Another
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