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

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

The answer to your question is:

-409 and 1

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

-409 × 1 = -409
-409 + 1 = -408

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

x² - 408x - 409 = 0

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

(x - 409 ) (x + 1)

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

x² - 408x - 409 = (x - 409 ) (x + 1)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.