What two numbers multiply to 600 and add up to 49?

Here we answer the question: "What two numbers multiply to 600 and add up to 49?"

The answer to your question is:

24 and 25

Below we illustrate and prove that 24 and 25 multiply to 600 and add up to 49:

24 × 25 = 600
24 + 25 = 49

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

x² + 49x + 600 = 0

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

(x + 24 ) (x + 25)

To summarize, since 24 and 25 multiply to 600 and add up 49, you know that the following is true:

x² + 49x + 600 = (x + 24 ) (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.