What two numbers multiply to -784 and add up to -105?

Here we answer the question: "What two numbers multiply to -784 and add up to -105?"

The answer to your question is:

-112 and 7

Below we illustrate and prove that -112 and 7 multiply to -784 and add up to -105:

-112 × 7 = -784
-112 + 7 = -105

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

x² - 105x - 784 = 0

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

(x - 112 ) (x + 7)

To summarize, since -112 and 7 multiply to -784 and add up -105, you know that the following is true:

x² - 105x - 784 = (x - 112 ) (x + 7)

Multiply To One Number and Add Up To Another
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