What two numbers multiply to 102 and add up to -23?

Here we answer the question: "What two numbers multiply to 102 and add up to -23?"

The answer to your question is:

-17 and -6

Below we illustrate and prove that -17 and -6 multiply to 102 and add up to -23:

-17 × -6 = 102
-17 + -6 = -23

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

x² - 23x + 102 = 0

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

(x - 17 ) (x - 6)

To summarize, since -17 and -6 multiply to 102 and add up -23, you know that the following is true:

x² - 23x + 102 = (x - 17 ) (x - 6)

Multiply To One Number and Add Up To Another
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