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:

-511 and -1

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

-511 × -1 = 511
-511 + -1 = -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 - 511 ) (x - 1)

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

x² - 512x + 511 = (x - 511 ) (x - 1)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.