What two numbers multiply to 574 and add up to -55?

Here we answer the question: "What two numbers multiply to 574 and add up to -55?"

The answer to your question is:

-41 and -14

Below we illustrate and prove that -41 and -14 multiply to 574 and add up to -55:

-41 × -14 = 574
-41 + -14 = -55

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

x² - 55x + 574 = 0

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

(x - 41 ) (x - 14)

To summarize, since -41 and -14 multiply to 574 and add up -55, you know that the following is true:

x² - 55x + 574 = (x - 41 ) (x - 14)

Multiply To One Number and Add Up To Another
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