What two numbers multiply to 510 and add up to 257?

Here we answer the question: "What two numbers multiply to 510 and add up to 257?"

The answer to your question is:

2 and 255

Below we illustrate and prove that 2 and 255 multiply to 510 and add up to 257:

2 × 255 = 510
2 + 255 = 257

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

x² + 257x + 510 = 0

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

(x + 2 ) (x + 255)

To summarize, since 2 and 255 multiply to 510 and add up 257, you know that the following is true:

x² + 257x + 510 = (x + 2 ) (x + 255)

Multiply To One Number and Add Up To Another
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