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:

-68 and -10

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

-68 × -10 = 680
-68 + -10 = -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 - 68 ) (x - 10)

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

x² - 78x + 680 = (x - 68 ) (x - 10)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.