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

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

The answer to your question is:

-1 and 209

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

-1 × 209 = -209
-1 + 209 = 208

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

x² + 208x - 209 = 0

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

(x - 1 ) (x + 209)

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

x² + 208x - 209 = (x - 1 ) (x + 209)

Multiply To One Number and Add Up To Another
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