What two numbers multiply to 1000 and add up to -254?

Here we answer the question: "What two numbers multiply to 1000 and add up to -254?"

The answer to your question is:

-250 and -4

Below we illustrate and prove that -250 and -4 multiply to 1000 and add up to -254:

-250 × -4 = 1000
-250 + -4 = -254

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

x² - 254x + 1000 = 0

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

(x - 250 ) (x - 4)

To summarize, since -250 and -4 multiply to 1000 and add up -254, you know that the following is true:

x² - 254x + 1000 = (x - 250 ) (x - 4)

Multiply To One Number and Add Up To Another
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