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:

1 and 508

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

1 × 508 = 508
1 + 508 = 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 + 1 ) (x + 508)

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

x² + 509x + 508 = (x + 1 ) (x + 508)

Multiply To One Number and Add Up To Another
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