What two numbers multiply to -484 and add up to 33?

Here we answer the question: "What two numbers multiply to -484 and add up to 33?"

The answer to your question is:

-11 and 44

Below we illustrate and prove that -11 and 44 multiply to -484 and add up to 33:

-11 × 44 = -484
-11 + 44 = 33

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

x² + 33x - 484 = 0

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

(x - 11 ) (x + 44)

To summarize, since -11 and 44 multiply to -484 and add up 33, you know that the following is true:

x² + 33x - 484 = (x - 11 ) (x + 44)

Multiply To One Number and Add Up To Another
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