What two numbers multiply to 1000 and add up to -110?

Here we answer the question: "What two numbers multiply to 1000 and add up to -110?"

The answer to your question is:

-100 and -10

Below we illustrate and prove that -100 and -10 multiply to 1000 and add up to -110:

-100 × -10 = 1000
-100 + -10 = -110

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

x² - 110x + 1000 = 0

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

(x - 100 ) (x - 10)

To summarize, since -100 and -10 multiply to 1000 and add up -110, you know that the following is true:

x² - 110x + 1000 = (x - 100 ) (x - 10)

Multiply To One Number and Add Up To Another
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