What two numbers multiply to 675 and add up to 52?

Here we answer the question: "What two numbers multiply to 675 and add up to 52?"

The answer to your question is:

25 and 27

Below we illustrate and prove that 25 and 27 multiply to 675 and add up to 52:

25 × 27 = 675
25 + 27 = 52

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

x² + 52x + 675 = 0

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

(x + 25 ) (x + 27)

To summarize, since 25 and 27 multiply to 675 and add up 52, you know that the following is true:

x² + 52x + 675 = (x + 25 ) (x + 27)

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.