What two numbers multiply to -728 and add up to 43?

Here we answer the question: "What two numbers multiply to -728 and add up to 43?"

The answer to your question is:

-13 and 56

Below we illustrate and prove that -13 and 56 multiply to -728 and add up to 43:

-13 × 56 = -728
-13 + 56 = 43

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

x² + 43x - 728 = 0

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

(x - 13 ) (x + 56)

To summarize, since -13 and 56 multiply to -728 and add up 43, you know that the following is true:

x² + 43x - 728 = (x - 13 ) (x + 56)

Multiply To One Number and Add Up To Another
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