What two numbers multiply to -749 and add up to -100?

Here we answer the question: "What two numbers multiply to -749 and add up to -100?"

The answer to your question is:

-107 and 7

Below we illustrate and prove that -107 and 7 multiply to -749 and add up to -100:

-107 × 7 = -749
-107 + 7 = -100

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

x² - 100x - 749 = 0

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

(x - 107 ) (x + 7)

To summarize, since -107 and 7 multiply to -749 and add up -100, you know that the following is true:

x² - 100x - 749 = (x - 107 ) (x + 7)

Multiply To One Number and Add Up To Another
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