What two numbers multiply to 728 and add up to -66?

Here we answer the question: "What two numbers multiply to 728 and add up to -66?"

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 -66:

-52 × -14 = 728
-52 + -14 = -66

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

x² - 66x + 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 -66, you know that the following is true:

x² - 66x + 728 = (x - 52 ) (x - 14)

Multiply To One Number and Add Up To Another
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