What two numbers multiply to 76 and add up to -77?

Here we answer the question: "What two numbers multiply to 76 and add up to -77?"

The answer to your question is:

-76 and -1

Below we illustrate and prove that -76 and -1 multiply to 76 and add up to -77:

-76 × -1 = 76
-76 + -1 = -77

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

x² - 77x + 76 = 0

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

(x - 76 ) (x - 1)

To summarize, since -76 and -1 multiply to 76 and add up -77, you know that the following is true:

x² - 77x + 76 = (x - 76 ) (x - 1)

Multiply To One Number and Add Up To Another
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