What two numbers multiply to 1000 and add up to 502?




Here we answer the question: "What two numbers multiply to 1000 and add up to 502?"

The answer to your question is:

2 and 500


Below we illustrate and prove that 2 and 500 multiply to 1000 and add up to 502:

2 × 500 = 1000
2 + 500 = 502

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

x2 + 502x + 1000 = 0

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

(x + 2 ) (x + 500)

To summarize, since 2 and 500 multiply to 1000 and add up 502, you know that the following is true:

x2 + 502x + 1000 = (x + 2 ) (x + 500)


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