What two numbers multiply to 506 and add up to 255?

Here we answer the question: "What two numbers multiply to 506 and add up to 255?"

The answer to your question is:

2 and 253

Below we illustrate and prove that 2 and 253 multiply to 506 and add up to 255:

2 × 253 = 506
2 + 253 = 255

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

x² + 255x + 506 = 0

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

(x + 2 ) (x + 253)

To summarize, since 2 and 253 multiply to 506 and add up 255, you know that the following is true:

x² + 255x + 506 = (x + 2 ) (x + 253)

Multiply To One Number and Add Up To Another
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