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:

14 and 41

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

14 × 41 = 574
14 + 41 = 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 + 14 ) (x + 41)

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

x² + 55x + 574 = (x + 14 ) (x + 41)

Multiply To One Number and Add Up To Another
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