What two numbers multiply to 10 and add up to -11?

Here we answer the question: "What two numbers multiply to 10 and add up to -11?"

The answer to your question is:

-10 and -1

Below we illustrate and prove that -10 and -1 multiply to 10 and add up to -11:

-10 × -1 = 10
-10 + -1 = -11

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

x² - 11x + 10 = 0

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

(x - 10 ) (x - 1)

To summarize, since -10 and -1 multiply to 10 and add up -11, you know that the following is true:

x² - 11x + 10 = (x - 10 ) (x - 1)

Multiply To One Number and Add Up To Another
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