What two numbers multiply to -100 and add up to -99?

Here we answer the question: "What two numbers multiply to -100 and add up to -99?"

The answer to your question is:

-100 and 1

Below we illustrate and prove that -100 and 1 multiply to -100 and add up to -99:

-100 × 1 = -100
-100 + 1 = -99

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

x² - 99x - 100 = 0

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

(x - 100 ) (x + 1)

To summarize, since -100 and 1 multiply to -100 and add up -99, you know that the following is true:

x² - 99x - 100 = (x - 100 ) (x + 1)

Multiply To One Number and Add Up To Another
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