What two numbers multiply to 511 and add up to 512?

Here we answer the question: "What two numbers multiply to 511 and add up to 512?"

The answer to your question is:

1 and 511

Below we illustrate and prove that 1 and 511 multiply to 511 and add up to 512:

1 × 511 = 511
1 + 511 = 512

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

x² + 512x + 511 = 0

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

(x + 1 ) (x + 511)

To summarize, since 1 and 511 multiply to 511 and add up 512, you know that the following is true:

x² + 512x + 511 = (x + 1 ) (x + 511)

Multiply To One Number and Add Up To Another
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