What two numbers multiply to 396 and add up to 47?

Here we answer the question: "What two numbers multiply to 396 and add up to 47?"

The answer to your question is:

11 and 36

Below we illustrate and prove that 11 and 36 multiply to 396 and add up to 47:

11 × 36 = 396
11 + 36 = 47

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

x² + 47x + 396 = 0

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

(x + 11 ) (x + 36)

To summarize, since 11 and 36 multiply to 396 and add up 47, you know that the following is true:

x² + 47x + 396 = (x + 11 ) (x + 36)

Multiply To One Number and Add Up To Another
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