What two numbers multiply to 414 and add up to -55?

Here we answer the question: "What two numbers multiply to 414 and add up to -55?"

The answer to your question is:

-46 and -9

Below we illustrate and prove that -46 and -9 multiply to 414 and add up to -55:

-46 × -9 = 414
-46 + -9 = -55

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

x² - 55x + 414 = 0

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

(x - 46 ) (x - 9)

To summarize, since -46 and -9 multiply to 414 and add up -55, you know that the following is true:

x² - 55x + 414 = (x - 46 ) (x - 9)

Multiply To One Number and Add Up To Another
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