What two numbers multiply to -996 and add up to 71?

Here we answer the question: "What two numbers multiply to -996 and add up to 71?"

The answer to your question is:

-12 and 83

Below we illustrate and prove that -12 and 83 multiply to -996 and add up to 71:

-12 × 83 = -996
-12 + 83 = 71

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

x² + 71x - 996 = 0

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

(x - 12 ) (x + 83)

To summarize, since -12 and 83 multiply to -996 and add up 71, you know that the following is true:

x² + 71x - 996 = (x - 12 ) (x + 83)

Multiply To One Number and Add Up To Another
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