What two numbers multiply to -524 and add up to 523?

Here we answer the question: "What two numbers multiply to -524 and add up to 523?"

The answer to your question is:

-1 and 524

Below we illustrate and prove that -1 and 524 multiply to -524 and add up to 523:

-1 × 524 = -524
-1 + 524 = 523

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

x² + 523x - 524 = 0

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

(x - 1 ) (x + 524)

To summarize, since -1 and 524 multiply to -524 and add up 523, you know that the following is true:

x² + 523x - 524 = (x - 1 ) (x + 524)

Multiply To One Number and Add Up To Another
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