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

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

The answer to your question is:

-83 and -1

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

-83 × -1 = 83
-83 + -1 = -84

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

x² - 84x + 83 = 0

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

(x - 83 ) (x - 1)

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

x² - 84x + 83 = (x - 83 ) (x - 1)

Multiply To One Number and Add Up To Another
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