What two numbers multiply to 456 and add up to 50?

Here we answer the question: "What two numbers multiply to 456 and add up to 50?"

The answer to your question is:

12 and 38

Below we illustrate and prove that 12 and 38 multiply to 456 and add up to 50:

12 × 38 = 456
12 + 38 = 50

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

x² + 50x + 456 = 0

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

(x + 12 ) (x + 38)

To summarize, since 12 and 38 multiply to 456 and add up 50, you know that the following is true:

x² + 50x + 456 = (x + 12 ) (x + 38)

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.