What two numbers multiply to -360 and add up to 117?

Here we answer the question: "What two numbers multiply to -360 and add up to 117?"

The answer to your question is:

-3 and 120

Below we illustrate and prove that -3 and 120 multiply to -360 and add up to 117:

-3 × 120 = -360
-3 + 120 = 117

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

x² + 117x - 360 = 0

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

(x - 3 ) (x + 120)

To summarize, since -3 and 120 multiply to -360 and add up 117, you know that the following is true:

x² + 117x - 360 = (x - 3 ) (x + 120)

Multiply To One Number and Add Up To Another
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