What two numbers multiply to -500 and add up to 121?

Here we answer the question: "What two numbers multiply to -500 and add up to 121?"

The answer to your question is:

-4 and 125

Below we illustrate and prove that -4 and 125 multiply to -500 and add up to 121:

-4 × 125 = -500
-4 + 125 = 121

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

x² + 121x - 500 = 0

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

(x - 4 ) (x + 125)

To summarize, since -4 and 125 multiply to -500 and add up 121, you know that the following is true:

x² + 121x - 500 = (x - 4 ) (x + 125)

Multiply To One Number and Add Up To Another
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