What two numbers multiply to 462 and add up to -83?

Here we answer the question: "What two numbers multiply to 462 and add up to -83?"

The answer to your question is:

-77 and -6

Below we illustrate and prove that -77 and -6 multiply to 462 and add up to -83:

-77 × -6 = 462
-77 + -6 = -83

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

x² - 83x + 462 = 0

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

(x - 77 ) (x - 6)

To summarize, since -77 and -6 multiply to 462 and add up -83, you know that the following is true:

x² - 83x + 462 = (x - 77 ) (x - 6)

Multiply To One Number and Add Up To Another
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