What two numbers multiply to 400 and add up to 41?

Here we answer the question: "What two numbers multiply to 400 and add up to 41?"

The answer to your question is:

16 and 25

Below we illustrate and prove that 16 and 25 multiply to 400 and add up to 41:

16 × 25 = 400
16 + 25 = 41

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

x² + 41x + 400 = 0

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

(x + 16 ) (x + 25)

To summarize, since 16 and 25 multiply to 400 and add up 41, you know that the following is true:

x² + 41x + 400 = (x + 16 ) (x + 25)

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.