What two numbers multiply to 196 and add up to -35?

Here we answer the question: "What two numbers multiply to 196 and add up to -35?"

The answer to your question is:

-28 and -7

Below we illustrate and prove that -28 and -7 multiply to 196 and add up to -35:

-28 × -7 = 196
-28 + -7 = -35

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

x² - 35x + 196 = 0

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

(x - 28 ) (x - 7)

To summarize, since -28 and -7 multiply to 196 and add up -35, you know that the following is true:

x² - 35x + 196 = (x - 28 ) (x - 7)

Multiply To One Number and Add Up To Another
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