What two numbers multiply to -500 and add up to 5?

Here we answer the question: "What two numbers multiply to -500 and add up to 5?"

The answer to your question is:

-20 and 25

Below we illustrate and prove that -20 and 25 multiply to -500 and add up to 5:

-20 × 25 = -500
-20 + 25 = 5

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

x² + 5x - 500 = 0

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

(x - 20 ) (x + 25)

To summarize, since -20 and 25 multiply to -500 and add up 5, you know that the following is true:

x² + 5x - 500 = (x - 20 ) (x + 25)

Multiply To One Number and Add Up To Another
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