What two numbers multiply to -728 and add up to 38?

Here we answer the question: "What two numbers multiply to -728 and add up to 38?"

The answer to your question is:

-14 and 52

Below we illustrate and prove that -14 and 52 multiply to -728 and add up to 38:

-14 × 52 = -728
-14 + 52 = 38

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

x² + 38x - 728 = 0

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

(x - 14 ) (x + 52)

To summarize, since -14 and 52 multiply to -728 and add up 38, you know that the following is true:

x² + 38x - 728 = (x - 14 ) (x + 52)

Multiply To One Number and Add Up To Another
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