What two numbers multiply to -36 and add up to 9?

Here we answer the question: "What two numbers multiply to -36 and add up to 9?"

The answer to your question is:

-3 and 12

Below we illustrate and prove that -3 and 12 multiply to -36 and add up to 9:

-3 × 12 = -36
-3 + 12 = 9

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

x² + 9x - 36 = 0

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

(x - 3 ) (x + 12)

To summarize, since -3 and 12 multiply to -36 and add up 9, you know that the following is true:

x² + 9x - 36 = (x - 3 ) (x + 12)

Multiply To One Number and Add Up To Another
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