What two numbers multiply to 84 and add up to -19?

Here we answer the question: "What two numbers multiply to 84 and add up to -19?"

The answer to your question is:

-12 and -7

Below we illustrate and prove that -12 and -7 multiply to 84 and add up to -19:

-12 × -7 = 84
-12 + -7 = -19

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

x² - 19x + 84 = 0

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

(x - 12 ) (x - 7)

To summarize, since -12 and -7 multiply to 84 and add up -19, you know that the following is true:

x² - 19x + 84 = (x - 12 ) (x - 7)

Multiply To One Number and Add Up To Another
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