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

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

The answer to your question is:

-1 and 11

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

-1 × 11 = -11
-1 + 11 = 10

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

x² + 10x - 11 = 0

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

(x - 1 ) (x + 11)

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

x² + 10x - 11 = (x - 1 ) (x + 11)

Multiply To One Number and Add Up To Another
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