What two numbers multiply to 51 and add up to 20?

Here we answer the question: "What two numbers multiply to 51 and add up to 20?"

The answer to your question is:

3 and 17

Below we illustrate and prove that 3 and 17 multiply to 51 and add up to 20:

3 × 17 = 51
3 + 17 = 20

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

x² + 20x + 51 = 0

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

(x + 3 ) (x + 17)

To summarize, since 3 and 17 multiply to 51 and add up 20, you know that the following is true:

x² + 20x + 51 = (x + 3 ) (x + 17)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.