What two numbers multiply to 78 and add up to -19?

Here we answer the question: "What two numbers multiply to 78 and add up to -19?"

The answer to your question is:

-13 and -6

Below we illustrate and prove that -13 and -6 multiply to 78 and add up to -19:

-13 × -6 = 78
-13 + -6 = -19

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

x² - 19x + 78 = 0

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

(x - 13 ) (x - 6)

To summarize, since -13 and -6 multiply to 78 and add up -19, you know that the following is true:

x² - 19x + 78 = (x - 13 ) (x - 6)

Multiply To One Number and Add Up To Another
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