What two numbers multiply to 680 and add up to -57?

Here we answer the question: "What two numbers multiply to 680 and add up to -57?"

The answer to your question is:

-40 and -17

Below we illustrate and prove that -40 and -17 multiply to 680 and add up to -57:

-40 × -17 = 680
-40 + -17 = -57

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

x² - 57x + 680 = 0

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

(x - 40 ) (x - 17)

To summarize, since -40 and -17 multiply to 680 and add up -57, you know that the following is true:

x² - 57x + 680 = (x - 40 ) (x - 17)

Multiply To One Number and Add Up To Another
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