What two numbers multiply to 208 and add up to -209?

Here we answer the question: "What two numbers multiply to 208 and add up to -209?"

The answer to your question is:

-208 and -1

Below we illustrate and prove that -208 and -1 multiply to 208 and add up to -209:

-208 × -1 = 208
-208 + -1 = -209

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

x² - 209x + 208 = 0

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

(x - 208 ) (x - 1)

To summarize, since -208 and -1 multiply to 208 and add up -209, you know that the following is true:

x² - 209x + 208 = (x - 208 ) (x - 1)

Multiply To One Number and Add Up To Another
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