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:

-11 and 19

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

-11 × 19 = -209
-11 + 19 = 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 - 11 ) (x + 19)

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

x² + 8x - 209 = (x - 11 ) (x + 19)

Multiply To One Number and Add Up To Another
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