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

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

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 524:

1 × 523 = 523
1 + 523 = 524

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

x² + 524x + 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 524, you know that the following is true:

x² + 524x + 523 = (x + 1 ) (x + 523)

Multiply To One Number and Add Up To Another
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