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

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

The answer to your question is:

-126 and -1

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

-126 × -1 = 126
-126 + -1 = -127

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

x² - 127x + 126 = 0

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

(x - 126 ) (x - 1)

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

x² - 127x + 126 = (x - 126 ) (x - 1)

Multiply To One Number and Add Up To Another
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