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:

2 and 254

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

2 × 254 = 508
2 + 254 = 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 + 2 ) (x + 254)

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

x² + 256x + 508 = (x + 2 ) (x + 254)

Multiply To One Number and Add Up To Another
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