What two numbers multiply to 505 and add up to 506?

Here we answer the question: "What two numbers multiply to 505 and add up to 506?"

The answer to your question is:

1 and 505

Below we illustrate and prove that 1 and 505 multiply to 505 and add up to 506:

1 × 505 = 505
1 + 505 = 506

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

x² + 506x + 505 = 0

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

(x + 1 ) (x + 505)

To summarize, since 1 and 505 multiply to 505 and add up 506, you know that the following is true:

x² + 506x + 505 = (x + 1 ) (x + 505)

Multiply To One Number and Add Up To Another
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