What two numbers multiply to -1000 and add up to 90?

Here we answer the question: "What two numbers multiply to -1000 and add up to 90?"

The answer to your question is:

-10 and 100

Below we illustrate and prove that -10 and 100 multiply to -1000 and add up to 90:

-10 × 100 = -1000
-10 + 100 = 90

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

x² + 90x - 1000 = 0

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

(x - 10 ) (x + 100)

To summarize, since -10 and 100 multiply to -1000 and add up 90, you know that the following is true:

x² + 90x - 1000 = (x - 10 ) (x + 100)

Multiply To One Number and Add Up To Another
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