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

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

The answer to your question is:

-1 and 506

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

-1 × 506 = -506
-1 + 506 = 505

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

x² + 505x - 506 = 0

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

(x - 1 ) (x + 506)

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

x² + 505x - 506 = (x - 1 ) (x + 506)

Multiply To One Number and Add Up To Another
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