What two numbers multiply to -506 and add up to 1?

Here we answer the question: "What two numbers multiply to -506 and add up to 1?"

The answer to your question is:

-22 and 23

Below we illustrate and prove that -22 and 23 multiply to -506 and add up to 1:

-22 × 23 = -506
-22 + 23 = 1

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

x² + 1x - 506 = 0

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

(x - 22 ) (x + 23)

To summarize, since -22 and 23 multiply to -506 and add up 1, you know that the following is true:

x² + 1x - 506 = (x - 22 ) (x + 23)

Multiply To One Number and Add Up To Another
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