What two numbers multiply to -628 and add up to 312?

Here we answer the question: "What two numbers multiply to -628 and add up to 312?"

The answer to your question is:

-2 and 314

Below we illustrate and prove that -2 and 314 multiply to -628 and add up to 312:

-2 × 314 = -628
-2 + 314 = 312

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

x² + 312x - 628 = 0

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

(x - 2 ) (x + 314)

To summarize, since -2 and 314 multiply to -628 and add up 312, you know that the following is true:

x² + 312x - 628 = (x - 2 ) (x + 314)

Multiply To One Number and Add Up To Another
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