What two numbers multiply to -312 and add up to -31?

Here we answer the question: "What two numbers multiply to -312 and add up to -31?"

The answer to your question is:

-39 and 8

Below we illustrate and prove that -39 and 8 multiply to -312 and add up to -31:

-39 × 8 = -312
-39 + 8 = -31

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

x² - 31x - 312 = 0

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

(x - 39 ) (x + 8)

To summarize, since -39 and 8 multiply to -312 and add up -31, you know that the following is true:

x² - 31x - 312 = (x - 39 ) (x + 8)

Multiply To One Number and Add Up To Another
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