What two numbers multiply to -312 and add up to -11?

Here we answer the question: "What two numbers multiply to -312 and add up to -11?"

The answer to your question is:

-24 and 13

Below we illustrate and prove that -24 and 13 multiply to -312 and add up to -11:

-24 × 13 = -312
-24 + 13 = -11

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

x² - 11x - 312 = 0

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

(x - 24 ) (x + 13)

To summarize, since -24 and 13 multiply to -312 and add up -11, you know that the following is true:

x² - 11x - 312 = (x - 24 ) (x + 13)

Multiply To One Number and Add Up To Another
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