What two numbers multiply to -127 and add up to 126?

Here we answer the question: "What two numbers multiply to -127 and add up to 126?"

The answer to your question is:

-1 and 127

Below we illustrate and prove that -1 and 127 multiply to -127 and add up to 126:

-1 × 127 = -127
-1 + 127 = 126

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

x² + 126x - 127 = 0

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

(x - 1 ) (x + 127)

To summarize, since -1 and 127 multiply to -127 and add up 126, you know that the following is true:

x² + 126x - 127 = (x - 1 ) (x + 127)

Multiply To One Number and Add Up To Another
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