What two numbers multiply to -820 and add up to 408?

Here we answer the question: "What two numbers multiply to -820 and add up to 408?"

The answer to your question is:

-2 and 410

Below we illustrate and prove that -2 and 410 multiply to -820 and add up to 408:

-2 × 410 = -820
-2 + 410 = 408

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

x² + 408x - 820 = 0

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

(x - 2 ) (x + 410)

To summarize, since -2 and 410 multiply to -820 and add up 408, you know that the following is true:

x² + 408x - 820 = (x - 2 ) (x + 410)

Multiply To One Number and Add Up To Another
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