What two numbers multiply to 504 and add up to 54?

Here we answer the question: "What two numbers multiply to 504 and add up to 54?"

The answer to your question is:

12 and 42

Below we illustrate and prove that 12 and 42 multiply to 504 and add up to 54:

12 × 42 = 504
12 + 42 = 54

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

x² + 54x + 504 = 0

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

(x + 12 ) (x + 42)

To summarize, since 12 and 42 multiply to 504 and add up 54, you know that the following is true:

x² + 54x + 504 = (x + 12 ) (x + 42)

Multiply To One Number and Add Up To Another
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