What two numbers multiply to 408 and add up to 46?

Here we answer the question: "What two numbers multiply to 408 and add up to 46?"

The answer to your question is:

12 and 34

Below we illustrate and prove that 12 and 34 multiply to 408 and add up to 46:

12 × 34 = 408
12 + 34 = 46

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

x² + 46x + 408 = 0

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

(x + 12 ) (x + 34)

To summarize, since 12 and 34 multiply to 408 and add up 46, you know that the following is true:

x² + 46x + 408 = (x + 12 ) (x + 34)

Multiply To One Number and Add Up To Another
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