What two numbers multiply to -822 and add up to 409?

Here we answer the question: "What two numbers multiply to -822 and add up to 409?"

The answer to your question is:

-2 and 411

Below we illustrate and prove that -2 and 411 multiply to -822 and add up to 409:

-2 × 411 = -822
-2 + 411 = 409

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

x² + 409x - 822 = 0

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

(x - 2 ) (x + 411)

To summarize, since -2 and 411 multiply to -822 and add up 409, you know that the following is true:

x² + 409x - 822 = (x - 2 ) (x + 411)

Multiply To One Number and Add Up To Another
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