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:

-52 and 14

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

-52 × 14 = -728
-52 + 14 = -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 - 52 ) (x + 14)

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

x² - 38x - 728 = (x - 52 ) (x + 14)

Multiply To One Number and Add Up To Another
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