What two numbers multiply to 508 and add up to -256?

Here we answer the question: "What two numbers multiply to 508 and add up to -256?"

The answer to your question is:

-254 and -2

Below we illustrate and prove that -254 and -2 multiply to 508 and add up to -256:

-254 × -2 = 508
-254 + -2 = -256

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

x² - 256x + 508 = 0

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

(x - 254 ) (x - 2)

To summarize, since -254 and -2 multiply to 508 and add up -256, you know that the following is true:

x² - 256x + 508 = (x - 254 ) (x - 2)

Multiply To One Number and Add Up To Another
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