What two numbers multiply to -686 and add up to -35?

Here we answer the question: "What two numbers multiply to -686 and add up to -35?"

The answer to your question is:

-49 and 14

Below we illustrate and prove that -49 and 14 multiply to -686 and add up to -35:

-49 × 14 = -686
-49 + 14 = -35

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

x² - 35x - 686 = 0

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

(x - 49 ) (x + 14)

To summarize, since -49 and 14 multiply to -686 and add up -35, you know that the following is true:

x² - 35x - 686 = (x - 49 ) (x + 14)

Multiply To One Number and Add Up To Another
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