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

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

The answer to your question is:

-1 and 210

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

-1 × 210 = -210
-1 + 210 = 209

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

x² + 209x - 210 = 0

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

(x - 1 ) (x + 210)

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

x² + 209x - 210 = (x - 1 ) (x + 210)

Multiply To One Number and Add Up To Another
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