What two numbers multiply to 48 and add up to 16?

Here we answer the question: "What two numbers multiply to 48 and add up to 16?"

The answer to your question is:

4 and 12

Below we illustrate and prove that 4 and 12 multiply to 48 and add up to 16:

4 × 12 = 48
4 + 12 = 16

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

x² + 16x + 48 = 0

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

(x + 4 ) (x + 12)

To summarize, since 4 and 12 multiply to 48 and add up 16, you know that the following is true:

x² + 16x + 48 = (x + 4 ) (x + 12)

Multiply To One Number and Add Up To Another
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