What two numbers multiply to 504 and add up to 71?

Here we answer the question: "What two numbers multiply to 504 and add up to 71?"

The answer to your question is:

8 and 63

Below we illustrate and prove that 8 and 63 multiply to 504 and add up to 71:

8 × 63 = 504
8 + 63 = 71

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

x² + 71x + 504 = 0

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

(x + 8 ) (x + 63)

To summarize, since 8 and 63 multiply to 504 and add up 71, you know that the following is true:

x² + 71x + 504 = (x + 8 ) (x + 63)

Multiply To One Number and Add Up To Another
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