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

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

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 510:

1 × 509 = 509
1 + 509 = 510

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

x² + 510x + 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 510, you know that the following is true:

x² + 510x + 509 = (x + 1 ) (x + 509)

Multiply To One Number and Add Up To Another
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