What two numbers multiply to -580 and add up to 111?

Here we answer the question: "What two numbers multiply to -580 and add up to 111?"

The answer to your question is:

-5 and 116

Below we illustrate and prove that -5 and 116 multiply to -580 and add up to 111:

-5 × 116 = -580
-5 + 116 = 111

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

x² + 111x - 580 = 0

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

(x - 5 ) (x + 116)

To summarize, since -5 and 116 multiply to -580 and add up 111, you know that the following is true:

x² + 111x - 580 = (x - 5 ) (x + 116)

Multiply To One Number and Add Up To Another
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