What two numbers multiply to -117 and add up to 116?

Here we answer the question: "What two numbers multiply to -117 and add up to 116?"

The answer to your question is:

-1 and 117

Below we illustrate and prove that -1 and 117 multiply to -117 and add up to 116:

-1 × 117 = -117
-1 + 117 = 116

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

x² + 116x - 117 = 0

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

(x - 1 ) (x + 117)

To summarize, since -1 and 117 multiply to -117 and add up 116, you know that the following is true:

x² + 116x - 117 = (x - 1 ) (x + 117)

Multiply To One Number and Add Up To Another
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