What two numbers multiply to -102 and add up to 11?

Here we answer the question: "What two numbers multiply to -102 and add up to 11?"

The answer to your question is:

-6 and 17

Below we illustrate and prove that -6 and 17 multiply to -102 and add up to 11:

-6 × 17 = -102
-6 + 17 = 11

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

x² + 11x - 102 = 0

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

(x - 6 ) (x + 17)

To summarize, since -6 and 17 multiply to -102 and add up 11, you know that the following is true:

x² + 11x - 102 = (x - 6 ) (x + 17)

Multiply To One Number and Add Up To Another
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