What two numbers multiply to 408 and add up to 74?

Here we answer the question: "What two numbers multiply to 408 and add up to 74?"

The answer to your question is:

6 and 68

Below we illustrate and prove that 6 and 68 multiply to 408 and add up to 74:

6 × 68 = 408
6 + 68 = 74

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

x² + 74x + 408 = 0

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

(x + 6 ) (x + 68)

To summarize, since 6 and 68 multiply to 408 and add up 74, you know that the following is true:

x² + 74x + 408 = (x + 6 ) (x + 68)

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.