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:

-4 and 25

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

-4 × 25 = -100
-4 + 25 = 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 - 4 ) (x + 25)

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

x² + 21x - 100 = (x - 4 ) (x + 25)

Multiply To One Number and Add Up To Another
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