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:

-200 and -5

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

-200 × -5 = 1000
-200 + -5 = -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 - 200 ) (x - 5)

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

x² - 205x + 1000 = (x - 200 ) (x - 5)

Multiply To One Number and Add Up To Another
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