What two numbers multiply to -624 and add up to 310?

Here we answer the question: "What two numbers multiply to -624 and add up to 310?"

The answer to your question is:

-2 and 312

Below we illustrate and prove that -2 and 312 multiply to -624 and add up to 310:

-2 × 312 = -624
-2 + 312 = 310

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

x² + 310x - 624 = 0

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

(x - 2 ) (x + 312)

To summarize, since -2 and 312 multiply to -624 and add up 310, you know that the following is true:

x² + 310x - 624 = (x - 2 ) (x + 312)

Multiply To One Number and Add Up To Another
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