What two numbers multiply to 497 and add up to -78?

Here we answer the question: "What two numbers multiply to 497 and add up to -78?"

The answer to your question is:

-71 and -7

Below we illustrate and prove that -71 and -7 multiply to 497 and add up to -78:

-71 × -7 = 497
-71 + -7 = -78

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

x² - 78x + 497 = 0

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

(x - 71 ) (x - 7)

To summarize, since -71 and -7 multiply to 497 and add up -78, you know that the following is true:

x² - 78x + 497 = (x - 71 ) (x - 7)

Multiply To One Number and Add Up To Another
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