What two numbers multiply to -1000 and add up to 117?

Here we answer the question: "What two numbers multiply to -1000 and add up to 117?"

The answer to your question is:

-8 and 125

Below we illustrate and prove that -8 and 125 multiply to -1000 and add up to 117:

-8 × 125 = -1000
-8 + 125 = 117

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

x² + 117x - 1000 = 0

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

(x - 8 ) (x + 125)

To summarize, since -8 and 125 multiply to -1000 and add up 117, you know that the following is true:

x² + 117x - 1000 = (x - 8 ) (x + 125)

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.