What two numbers multiply to -506 and add up to 251?

Here we answer the question: "What two numbers multiply to -506 and add up to 251?"

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 251:

-2 × 253 = -506
-2 + 253 = 251

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

x² + 251x - 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 251, you know that the following is true:

x² + 251x - 506 = (x - 2 ) (x + 253)

Multiply To One Number and Add Up To Another
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