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

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

The answer to your question is:

-99 and -1

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

-99 × -1 = 99
-99 + -1 = -100

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

x² - 100x + 99 = 0

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

(x - 99 ) (x - 1)

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

x² - 100x + 99 = (x - 99 ) (x - 1)

Multiply To One Number and Add Up To Another
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