What two numbers multiply to 9 and add up to -10?

Here we answer the question: "What two numbers multiply to 9 and add up to -10?"

The answer to your question is:

-9 and -1

Below we illustrate and prove that -9 and -1 multiply to 9 and add up to -10:

-9 × -1 = 9
-9 + -1 = -10

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

x² - 10x + 9 = 0

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

(x - 9 ) (x - 1)

To summarize, since -9 and -1 multiply to 9 and add up -10, you know that the following is true:

x² - 10x + 9 = (x - 9 ) (x - 1)

Multiply To One Number and Add Up To Another
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