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

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

The answer to your question is:

-1 and 10

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

-1 × 10 = -10
-1 + 10 = 9

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

x² + 9x - 10 = 0

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

(x - 1 ) (x + 10)

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

x² + 9x - 10 = (x - 1 ) (x + 10)

Multiply To One Number and Add Up To Another
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