What two numbers multiply to -107 and add up to 106?

Here we answer the question: "What two numbers multiply to -107 and add up to 106?"

The answer to your question is:

-1 and 107

Below we illustrate and prove that -1 and 107 multiply to -107 and add up to 106:

-1 × 107 = -107
-1 + 107 = 106

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

x² + 106x - 107 = 0

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

(x - 1 ) (x + 107)

To summarize, since -1 and 107 multiply to -107 and add up 106, you know that the following is true:

x² + 106x - 107 = (x - 1 ) (x + 107)

Multiply To One Number and Add Up To Another
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