What two numbers multiply to 196 and add up to -28?

Here we answer the question: "What two numbers multiply to 196 and add up to -28?"

The answer to your question is:

-14 and -14

Below we illustrate and prove that -14 and -14 multiply to 196 and add up to -28:

-14 × -14 = 196
-14 + -14 = -28

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

x² - 28x + 196 = 0

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

(x - 14 ) (x - 14)

To summarize, since -14 and -14 multiply to 196 and add up -28, you know that the following is true:

x² - 28x + 196 = (x - 14 ) (x - 14)

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.