What two numbers multiply to 312 and add up to -313?

Here we answer the question: "What two numbers multiply to 312 and add up to -313?"

The answer to your question is:

-312 and -1

Below we illustrate and prove that -312 and -1 multiply to 312 and add up to -313:

-312 × -1 = 312
-312 + -1 = -313

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

x² - 313x + 312 = 0

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

(x - 312 ) (x - 1)

To summarize, since -312 and -1 multiply to 312 and add up -313, you know that the following is true:

x² - 313x + 312 = (x - 312 ) (x - 1)

Multiply To One Number and Add Up To Another
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