What two numbers multiply to -78 and add up to -7?

Here we answer the question: "What two numbers multiply to -78 and add up to -7?"

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 -7:

-13 × 6 = -78
-13 + 6 = -7

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

x² - 7x - 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 -7, you know that the following is true:

x² - 7x - 78 = (x - 13 ) (x + 6)

Multiply To One Number and Add Up To Another
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