What two numbers multiply to -84 and add up to 83?

Here we answer the question: "What two numbers multiply to -84 and add up to 83?"

The answer to your question is:

-1 and 84

Below we illustrate and prove that -1 and 84 multiply to -84 and add up to 83:

-1 × 84 = -84
-1 + 84 = 83

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

x² + 83x - 84 = 0

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

(x - 1 ) (x + 84)

To summarize, since -1 and 84 multiply to -84 and add up 83, you know that the following is true:

x² + 83x - 84 = (x - 1 ) (x + 84)

Multiply To One Number and Add Up To Another
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