What two numbers multiply to -576 and add up to 36?

Here we answer the question: "What two numbers multiply to -576 and add up to 36?"

The answer to your question is:

-12 and 48

Below we illustrate and prove that -12 and 48 multiply to -576 and add up to 36:

-12 × 48 = -576
-12 + 48 = 36

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

x² + 36x - 576 = 0

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

(x - 12 ) (x + 48)

To summarize, since -12 and 48 multiply to -576 and add up 36, you know that the following is true:

x² + 36x - 576 = (x - 12 ) (x + 48)

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.