What two numbers multiply to 414 and add up to 41?

Here we answer the question: "What two numbers multiply to 414 and add up to 41?"

The answer to your question is:

18 and 23

Below we illustrate and prove that 18 and 23 multiply to 414 and add up to 41:

18 × 23 = 414
18 + 23 = 41

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

x² + 41x + 414 = 0

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

(x + 18 ) (x + 23)

To summarize, since 18 and 23 multiply to 414 and add up 41, you know that the following is true:

x² + 41x + 414 = (x + 18 ) (x + 23)

Multiply To One Number and Add Up To Another
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