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:

9 and 46

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

9 × 46 = 414
9 + 46 = 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 + 9 ) (x + 46)

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

x² + 55x + 414 = (x + 9 ) (x + 46)

Multiply To One Number and Add Up To Another
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