What two numbers multiply to 408 and add up to -74?

Here we answer the question: "What two numbers multiply to 408 and add up to -74?"

The answer to your question is:

-68 and -6

Below we illustrate and prove that -68 and -6 multiply to 408 and add up to -74:

-68 × -6 = 408
-68 + -6 = -74

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

x² - 74x + 408 = 0

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

(x - 68 ) (x - 6)

To summarize, since -68 and -6 multiply to 408 and add up -74, you know that the following is true:

x² - 74x + 408 = (x - 68 ) (x - 6)

Multiply To One Number and Add Up To Another
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