What two numbers multiply to 408 and add up to -409?

Here we answer the question: "What two numbers multiply to 408 and add up to -409?"

The answer to your question is:

-408 and -1

Below we illustrate and prove that -408 and -1 multiply to 408 and add up to -409:

-408 × -1 = 408
-408 + -1 = -409

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

x² - 409x + 408 = 0

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

(x - 408 ) (x - 1)

To summarize, since -408 and -1 multiply to 408 and add up -409, you know that the following is true:

x² - 409x + 408 = (x - 408 ) (x - 1)

Multiply To One Number and Add Up To Another
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