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

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

The answer to your question is:

-106 and -1

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

-106 × -1 = 106
-106 + -1 = -107

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

x² - 107x + 106 = 0

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

(x - 106 ) (x - 1)

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

x² - 107x + 106 = (x - 106 ) (x - 1)

Multiply To One Number and Add Up To Another
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