What two numbers multiply to -100 and add up to -21?

Here we answer the question: "What two numbers multiply to -100 and add up to -21?"

The answer to your question is:

-25 and 4

Below we illustrate and prove that -25 and 4 multiply to -100 and add up to -21:

-25 × 4 = -100
-25 + 4 = -21

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

x² - 21x - 100 = 0

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

(x - 25 ) (x + 4)

To summarize, since -25 and 4 multiply to -100 and add up -21, you know that the following is true:

x² - 21x - 100 = (x - 25 ) (x + 4)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.