What two numbers multiply to -196 and add up to 21?

Here we answer the question: "What two numbers multiply to -196 and add up to 21?"

The answer to your question is:

-7 and 28

Below we illustrate and prove that -7 and 28 multiply to -196 and add up to 21:

-7 × 28 = -196
-7 + 28 = 21

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

x² + 21x - 196 = 0

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

(x - 7 ) (x + 28)

To summarize, since -7 and 28 multiply to -196 and add up 21, you know that the following is true:

x² + 21x - 196 = (x - 7 ) (x + 28)

Multiply To One Number and Add Up To Another
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