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

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

The answer to your question is:

-1 and 83

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

-1 × 83 = -83
-1 + 83 = 82

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

x² + 82x - 83 = 0

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

(x - 1 ) (x + 83)

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

x² + 82x - 83 = (x - 1 ) (x + 83)

Multiply To One Number and Add Up To Another
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