What two numbers multiply to 499 and add up to 500?

Here we answer the question: "What two numbers multiply to 499 and add up to 500?"

The answer to your question is:

1 and 499

Below we illustrate and prove that 1 and 499 multiply to 499 and add up to 500:

1 × 499 = 499
1 + 499 = 500

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

x² + 500x + 499 = 0

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

(x + 1 ) (x + 499)

To summarize, since 1 and 499 multiply to 499 and add up 500, you know that the following is true:

x² + 500x + 499 = (x + 1 ) (x + 499)

Multiply To One Number and Add Up To Another
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