What two numbers multiply to -252 and add up to 9?

Here we answer the question: "What two numbers multiply to -252 and add up to 9?"

The answer to your question is:

-12 and 21

Below we illustrate and prove that -12 and 21 multiply to -252 and add up to 9:

-12 × 21 = -252
-12 + 21 = 9

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

x² + 9x - 252 = 0

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

(x - 12 ) (x + 21)

To summarize, since -12 and 21 multiply to -252 and add up 9, you know that the following is true:

x² + 9x - 252 = (x - 12 ) (x + 21)

Multiply To One Number and Add Up To Another
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