What two numbers multiply to 101 and add up to -102?

Here we answer the question: "What two numbers multiply to 101 and add up to -102?"

The answer to your question is:

-101 and -1

Below we illustrate and prove that -101 and -1 multiply to 101 and add up to -102:

-101 × -1 = 101
-101 + -1 = -102

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

x² - 102x + 101 = 0

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

(x - 101 ) (x - 1)

To summarize, since -101 and -1 multiply to 101 and add up -102, you know that the following is true:

x² - 102x + 101 = (x - 101 ) (x - 1)

Multiply To One Number and Add Up To Another
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