What two numbers multiply to -209 and add up to -8?

Here we answer the question: "What two numbers multiply to -209 and add up to -8?"

The answer to your question is:

-19 and 11

Below we illustrate and prove that -19 and 11 multiply to -209 and add up to -8:

-19 × 11 = -209
-19 + 11 = -8

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

x² - 8x - 209 = 0

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

(x - 19 ) (x + 11)

To summarize, since -19 and 11 multiply to -209 and add up -8, you know that the following is true:

x² - 8x - 209 = (x - 19 ) (x + 11)

Multiply To One Number and Add Up To Another
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