What two numbers multiply to 680 and add up to 78?

Here we answer the question: "What two numbers multiply to 680 and add up to 78?"

The answer to your question is:

10 and 68

Below we illustrate and prove that 10 and 68 multiply to 680 and add up to 78:

10 × 68 = 680
10 + 68 = 78

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

x² + 78x + 680 = 0

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

(x + 10 ) (x + 68)

To summarize, since 10 and 68 multiply to 680 and add up 78, you know that the following is true:

x² + 78x + 680 = (x + 10 ) (x + 68)

Multiply To One Number and Add Up To Another
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