What two numbers multiply to -52 and add up to 24?

Here we answer the question: "What two numbers multiply to -52 and add up to 24?"

The answer to your question is:

-2 and 26

Below we illustrate and prove that -2 and 26 multiply to -52 and add up to 24:

-2 × 26 = -52
-2 + 26 = 24

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

x² + 24x - 52 = 0

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

(x - 2 ) (x + 26)

To summarize, since -2 and 26 multiply to -52 and add up 24, you know that the following is true:

x² + 24x - 52 = (x - 2 ) (x + 26)

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.