What two numbers multiply to -100 and add up to -15?

Here we answer the question: "What two numbers multiply to -100 and add up to -15?"

The answer to your question is:

-20 and 5

Below we illustrate and prove that -20 and 5 multiply to -100 and add up to -15:

-20 × 5 = -100
-20 + 5 = -15

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

x² - 15x - 100 = 0

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

(x - 20 ) (x + 5)

To summarize, since -20 and 5 multiply to -100 and add up -15, you know that the following is true:

x² - 15x - 100 = (x - 20 ) (x + 5)

Multiply To One Number and Add Up To Another
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