What two numbers multiply to -117 and add up to 36?

Here we answer the question: "What two numbers multiply to -117 and add up to 36?"

The answer to your question is:

-3 and 39

Below we illustrate and prove that -3 and 39 multiply to -117 and add up to 36:

-3 × 39 = -117
-3 + 39 = 36

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

x² + 36x - 117 = 0

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

(x - 3 ) (x + 39)

To summarize, since -3 and 39 multiply to -117 and add up 36, you know that the following is true:

x² + 36x - 117 = (x - 3 ) (x + 39)

Multiply To One Number and Add Up To Another
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