What two numbers multiply to 77 and add up to -78?

Here we answer the question: "What two numbers multiply to 77 and add up to -78?"

The answer to your question is:

-77 and -1

Below we illustrate and prove that -77 and -1 multiply to 77 and add up to -78:

-77 × -1 = 77
-77 + -1 = -78

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

x² - 78x + 77 = 0

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

(x - 77 ) (x - 1)

To summarize, since -77 and -1 multiply to 77 and add up -78, you know that the following is true:

x² - 78x + 77 = (x - 77 ) (x - 1)

Multiply To One Number and Add Up To Another
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