What two numbers multiply to -114 and add up to 13?

Here we answer the question: "What two numbers multiply to -114 and add up to 13?"

The answer to your question is:

-6 and 19

Below we illustrate and prove that -6 and 19 multiply to -114 and add up to 13:

-6 × 19 = -114
-6 + 19 = 13

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

x² + 13x - 114 = 0

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

(x - 6 ) (x + 19)

To summarize, since -6 and 19 multiply to -114 and add up 13, you know that the following is true:

x² + 13x - 114 = (x - 6 ) (x + 19)

Multiply To One Number and Add Up To Another
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