What two numbers multiply to 624 and add up to -314?

Here we answer the question: "What two numbers multiply to 624 and add up to -314?"

The answer to your question is:

-312 and -2

Below we illustrate and prove that -312 and -2 multiply to 624 and add up to -314:

-312 × -2 = 624
-312 + -2 = -314

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

x² - 314x + 624 = 0

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

(x - 312 ) (x - 2)

To summarize, since -312 and -2 multiply to 624 and add up -314, you know that the following is true:

x² - 314x + 624 = (x - 312 ) (x - 2)

Multiply To One Number and Add Up To Another
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