What two numbers multiply to -97 and add up to 96?

Here we answer the question: "What two numbers multiply to -97 and add up to 96?"

The answer to your question is:

-1 and 97

Below we illustrate and prove that -1 and 97 multiply to -97 and add up to 96:

-1 × 97 = -97
-1 + 97 = 96

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

x² + 96x - 97 = 0

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

(x - 1 ) (x + 97)

To summarize, since -1 and 97 multiply to -97 and add up 96, you know that the following is true:

x² + 96x - 97 = (x - 1 ) (x + 97)

Multiply To One Number and Add Up To Another
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