What two numbers multiply to -510 and add up to 253?

Here we answer the question: "What two numbers multiply to -510 and add up to 253?"

The answer to your question is:

-2 and 255

Below we illustrate and prove that -2 and 255 multiply to -510 and add up to 253:

-2 × 255 = -510
-2 + 255 = 253

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

x² + 253x - 510 = 0

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

(x - 2 ) (x + 255)

To summarize, since -2 and 255 multiply to -510 and add up 253, you know that the following is true:

x² + 253x - 510 = (x - 2 ) (x + 255)

Multiply To One Number and Add Up To Another
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