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:

-13 and 24

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

-13 × 24 = -312
-13 + 24 = 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 - 13 ) (x + 24)

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

x² + 11x - 312 = (x - 13 ) (x + 24)

Multiply To One Number and Add Up To Another
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