What two numbers multiply to -1000 and add up to 999?

Here we answer the question: "What two numbers multiply to -1000 and add up to 999?"

The answer to your question is:

-1 and 1000

Below we illustrate and prove that -1 and 1000 multiply to -1000 and add up to 999:

-1 × 1000 = -1000
-1 + 1000 = 999

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

x² + 999x - 1000 = 0

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

(x - 1 ) (x + 1000)

To summarize, since -1 and 1000 multiply to -1000 and add up 999, you know that the following is true:

x² + 999x - 1000 = (x - 1 ) (x + 1000)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.