What two numbers multiply to 33 and add up to 14?

Here we answer the question: "What two numbers multiply to 33 and add up to 14?"

The answer to your question is:

3 and 11

Below we illustrate and prove that 3 and 11 multiply to 33 and add up to 14:

3 × 11 = 33
3 + 11 = 14

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

x² + 14x + 33 = 0

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

(x + 3 ) (x + 11)

To summarize, since 3 and 11 multiply to 33 and add up 14, you know that the following is true:

x² + 14x + 33 = (x + 3 ) (x + 11)

Multiply To One Number and Add Up To Another
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