What two numbers multiply to -125 and add up to 20?

Here we answer the question: "What two numbers multiply to -125 and add up to 20?"

The answer to your question is:

-5 and 25

Below we illustrate and prove that -5 and 25 multiply to -125 and add up to 20:

-5 × 25 = -125
-5 + 25 = 20

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

x² + 20x - 125 = 0

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

(x - 5 ) (x + 25)

To summarize, since -5 and 25 multiply to -125 and add up 20, you know that the following is true:

x² + 20x - 125 = (x - 5 ) (x + 25)

Multiply To One Number and Add Up To Another
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