What two numbers multiply to 1000 and add up to 205?

Here we answer the question: "What two numbers multiply to 1000 and add up to 205?"

The answer to your question is:

5 and 200

Below we illustrate and prove that 5 and 200 multiply to 1000 and add up to 205:

5 × 200 = 1000
5 + 200 = 205

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

x² + 205x + 1000 = 0

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

(x + 5 ) (x + 200)

To summarize, since 5 and 200 multiply to 1000 and add up 205, you know that the following is true:

x² + 205x + 1000 = (x + 5 ) (x + 200)

Multiply To One Number and Add Up To Another
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