What two numbers multiply to -196 and add up to 96?

Here we answer the question: "What two numbers multiply to -196 and add up to 96?"

The answer to your question is:

-2 and 98

Below we illustrate and prove that -2 and 98 multiply to -196 and add up to 96:

-2 × 98 = -196
-2 + 98 = 96

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

x² + 96x - 196 = 0

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

(x - 2 ) (x + 98)

To summarize, since -2 and 98 multiply to -196 and add up 96, you know that the following is true:

x² + 96x - 196 = (x - 2 ) (x + 98)

Multiply To One Number and Add Up To Another
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