What two numbers multiply to 84 and add up to -31?

Here we answer the question: "What two numbers multiply to 84 and add up to -31?"

The answer to your question is:

-28 and -3

Below we illustrate and prove that -28 and -3 multiply to 84 and add up to -31:

-28 × -3 = 84
-28 + -3 = -31

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

x² - 31x + 84 = 0

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

(x - 28 ) (x - 3)

To summarize, since -28 and -3 multiply to 84 and add up -31, you know that the following is true:

x² - 31x + 84 = (x - 28 ) (x - 3)

Multiply To One Number and Add Up To Another
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