What two numbers multiply to 442 and add up to 47?

Here we answer the question: "What two numbers multiply to 442 and add up to 47?"

The answer to your question is:

13 and 34

Below we illustrate and prove that 13 and 34 multiply to 442 and add up to 47:

13 × 34 = 442
13 + 34 = 47

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

x² + 47x + 442 = 0

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

(x + 13 ) (x + 34)

To summarize, since 13 and 34 multiply to 442 and add up 47, you know that the following is true:

x² + 47x + 442 = (x + 13 ) (x + 34)

Multiply To One Number and Add Up To Another
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