What two numbers multiply to 48 and add up to 14?

Here we answer the question: "What two numbers multiply to 48 and add up to 14?"

The answer to your question is:

6 and 8

Below we illustrate and prove that 6 and 8 multiply to 48 and add up to 14:

6 × 8 = 48
6 + 8 = 14

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

x² + 14x + 48 = 0

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

(x + 6 ) (x + 8)

To summarize, since 6 and 8 multiply to 48 and add up 14, you know that the following is true:

x² + 14x + 48 = (x + 6 ) (x + 8)

Multiply To One Number and Add Up To Another
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