What two numbers multiply to 82 and add up to -83?

Here we answer the question: "What two numbers multiply to 82 and add up to -83?"

The answer to your question is:

-82 and -1

Below we illustrate and prove that -82 and -1 multiply to 82 and add up to -83:

-82 × -1 = 82
-82 + -1 = -83

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

x² - 83x + 82 = 0

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

(x - 82 ) (x - 1)

To summarize, since -82 and -1 multiply to 82 and add up -83, you know that the following is true:

x² - 83x + 82 = (x - 82 ) (x - 1)

Multiply To One Number and Add Up To Another
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