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:

14 and 52

Below we illustrate and prove that 14 and 52 multiply to 728 and add up to 66:

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

To summarize, since 14 and 52 multiply to 728 and add up 66, you know that the following is true:

x² + 66x + 728 = (x + 14 ) (x + 52)

Multiply To One Number and Add Up To Another
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