What two numbers multiply to 209 and add up to -210?

Here we answer the question: "What two numbers multiply to 209 and add up to -210?"

The answer to your question is:

-209 and -1

Below we illustrate and prove that -209 and -1 multiply to 209 and add up to -210:

-209 × -1 = 209
-209 + -1 = -210

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

x² - 210x + 209 = 0

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

(x - 209 ) (x - 1)

To summarize, since -209 and -1 multiply to 209 and add up -210, you know that the following is true:

x² - 210x + 209 = (x - 209 ) (x - 1)

Multiply To One Number and Add Up To Another
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