What two numbers multiply to -625 and add up to 120?

Here we answer the question: "What two numbers multiply to -625 and add up to 120?"

The answer to your question is:

-5 and 125

Below we illustrate and prove that -5 and 125 multiply to -625 and add up to 120:

-5 × 125 = -625
-5 + 125 = 120

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

x² + 120x - 625 = 0

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

(x - 5 ) (x + 125)

To summarize, since -5 and 125 multiply to -625 and add up 120, you know that the following is true:

x² + 120x - 625 = (x - 5 ) (x + 125)

Multiply To One Number and Add Up To Another
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