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:

7 and 12

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

7 × 12 = 84
7 + 12 = 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 + 7 ) (x + 12)

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

x² + 19x + 84 = (x + 7 ) (x + 12)

Multiply To One Number and Add Up To Another
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