What two numbers multiply to 84 and add up to -85?

Here we answer the question: "What two numbers multiply to 84 and add up to -85?"

The answer to your question is:

-84 and -1

Below we illustrate and prove that -84 and -1 multiply to 84 and add up to -85:

-84 × -1 = 84
-84 + -1 = -85

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

x² - 85x + 84 = 0

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

(x - 84 ) (x - 1)

To summarize, since -84 and -1 multiply to 84 and add up -85, you know that the following is true:

x² - 85x + 84 = (x - 84 ) (x - 1)

Multiply To One Number and Add Up To Another
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