What two numbers multiply to -503 and add up to 502?

Here we answer the question: "What two numbers multiply to -503 and add up to 502?"

The answer to your question is:

-1 and 503

Below we illustrate and prove that -1 and 503 multiply to -503 and add up to 502:

-1 × 503 = -503
-1 + 503 = 502

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

x² + 502x - 503 = 0

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

(x - 1 ) (x + 503)

To summarize, since -1 and 503 multiply to -503 and add up 502, you know that the following is true:

x² + 502x - 503 = (x - 1 ) (x + 503)

Multiply To One Number and Add Up To Another
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