What two numbers multiply to -24 and add up to 10?

Here we answer the question: "What two numbers multiply to -24 and add up to 10?"

The answer to your question is:

-2 and 12

Below we illustrate and prove that -2 and 12 multiply to -24 and add up to 10:

-2 × 12 = -24
-2 + 12 = 10

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

x² + 10x - 24 = 0

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

(x - 2 ) (x + 12)

To summarize, since -2 and 12 multiply to -24 and add up 10, you know that the following is true:

x² + 10x - 24 = (x - 2 ) (x + 12)

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.