What two numbers multiply to 312 and add up to -82?

Here we answer the question: "What two numbers multiply to 312 and add up to -82?"

The answer to your question is:

-78 and -4

Below we illustrate and prove that -78 and -4 multiply to 312 and add up to -82:

-78 × -4 = 312
-78 + -4 = -82

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

x² - 82x + 312 = 0

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

(x - 78 ) (x - 4)

To summarize, since -78 and -4 multiply to 312 and add up -82, you know that the following is true:

x² - 82x + 312 = (x - 78 ) (x - 4)

Multiply To One Number and Add Up To Another
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