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

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

The answer to your question is:

-1 and 313

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

-1 × 313 = -313
-1 + 313 = 312

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

x² + 312x - 313 = 0

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

(x - 1 ) (x + 313)

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

x² + 312x - 313 = (x - 1 ) (x + 313)

Multiply To One Number and Add Up To Another
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