What two numbers multiply to -120 and add up to 37?

Here we answer the question: "What two numbers multiply to -120 and add up to 37?"

The answer to your question is:

-3 and 40

Below we illustrate and prove that -3 and 40 multiply to -120 and add up to 37:

-3 × 40 = -120
-3 + 40 = 37

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

x² + 37x - 120 = 0

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

(x - 3 ) (x + 40)

To summarize, since -3 and 40 multiply to -120 and add up 37, you know that the following is true:

x² + 37x - 120 = (x - 3 ) (x + 40)

Multiply To One Number and Add Up To Another
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