What two numbers multiply to -497 and add up to 496?

Here we answer the question: "What two numbers multiply to -497 and add up to 496?"

The answer to your question is:

-1 and 497

Below we illustrate and prove that -1 and 497 multiply to -497 and add up to 496:

-1 × 497 = -497
-1 + 497 = 496

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

x² + 496x - 497 = 0

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

(x - 1 ) (x + 497)

To summarize, since -1 and 497 multiply to -497 and add up 496, you know that the following is true:

x² + 496x - 497 = (x - 1 ) (x + 497)

Multiply To One Number and Add Up To Another
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