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

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

The answer to your question is:

1 and 496

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

1 × 496 = 496
1 + 496 = 497

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

x² + 497x + 496 = 0

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

(x + 1 ) (x + 496)

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

x² + 497x + 496 = (x + 1 ) (x + 496)

Multiply To One Number and Add Up To Another
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