What two numbers multiply to 728 and add up to -69?

Here we answer the question: "What two numbers multiply to 728 and add up to -69?"

The answer to your question is:

-56 and -13

Below we illustrate and prove that -56 and -13 multiply to 728 and add up to -69:

-56 × -13 = 728
-56 + -13 = -69

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

x² - 69x + 728 = 0

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

(x - 56 ) (x - 13)

To summarize, since -56 and -13 multiply to 728 and add up -69, you know that the following is true:

x² - 69x + 728 = (x - 56 ) (x - 13)

Multiply To One Number and Add Up To Another
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