What two numbers multiply to 814 and add up to -409?

Here we answer the question: "What two numbers multiply to 814 and add up to -409?"

The answer to your question is:

-407 and -2

Below we illustrate and prove that -407 and -2 multiply to 814 and add up to -409:

-407 × -2 = 814
-407 + -2 = -409

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

x² - 409x + 814 = 0

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

(x - 407 ) (x - 2)

To summarize, since -407 and -2 multiply to 814 and add up -409, you know that the following is true:

x² - 409x + 814 = (x - 407 ) (x - 2)

Multiply To One Number and Add Up To Another
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