What two numbers multiply to -523 and add up to 522?

Here we answer the question: "What two numbers multiply to -523 and add up to 522?"

The answer to your question is:

-1 and 523

Below we illustrate and prove that -1 and 523 multiply to -523 and add up to 522:

-1 × 523 = -523
-1 + 523 = 522

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

x² + 522x - 523 = 0

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

(x - 1 ) (x + 523)

To summarize, since -1 and 523 multiply to -523 and add up 522, you know that the following is true:

x² + 522x - 523 = (x - 1 ) (x + 523)

Multiply To One Number and Add Up To Another
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