What two numbers multiply to 408 and add up to -41?

Here we answer the question: "What two numbers multiply to 408 and add up to -41?"

The answer to your question is:

-24 and -17

Below we illustrate and prove that -24 and -17 multiply to 408 and add up to -41:

-24 × -17 = 408
-24 + -17 = -41

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

x² - 41x + 408 = 0

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

(x - 24 ) (x - 17)

To summarize, since -24 and -17 multiply to 408 and add up -41, you know that the following is true:

x² - 41x + 408 = (x - 24 ) (x - 17)

Multiply To One Number and Add Up To Another
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