What two numbers multiply to 504 and add up to 505?

Here we answer the question: "What two numbers multiply to 504 and add up to 505?"

The answer to your question is:

1 and 504

Below we illustrate and prove that 1 and 504 multiply to 504 and add up to 505:

1 × 504 = 504
1 + 504 = 505

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

x² + 505x + 504 = 0

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

(x + 1 ) (x + 504)

To summarize, since 1 and 504 multiply to 504 and add up 505, you know that the following is true:

x² + 505x + 504 = (x + 1 ) (x + 504)

Multiply To One Number and Add Up To Another
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