What two numbers multiply to 12 and add up to -13?

Here we answer the question: "What two numbers multiply to 12 and add up to -13?"

The answer to your question is:

-12 and -1

Below we illustrate and prove that -12 and -1 multiply to 12 and add up to -13:

-12 × -1 = 12
-12 + -1 = -13

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

x² - 13x + 12 = 0

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

(x - 12 ) (x - 1)

To summarize, since -12 and -1 multiply to 12 and add up -13, you know that the following is true:

x² - 13x + 12 = (x - 12 ) (x - 1)

Multiply To One Number and Add Up To Another
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