What two numbers multiply to 500 and add up to 501?

Here we answer the question: "What two numbers multiply to 500 and add up to 501?"

The answer to your question is:

1 and 500

Below we illustrate and prove that 1 and 500 multiply to 500 and add up to 501:

1 × 500 = 500
1 + 500 = 501

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

x² + 501x + 500 = 0

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

(x + 1 ) (x + 500)

To summarize, since 1 and 500 multiply to 500 and add up 501, you know that the following is true:

x² + 501x + 500 = (x + 1 ) (x + 500)

Multiply To One Number and Add Up To Another
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