What two numbers multiply to -684 and add up to 45?

Here we answer the question: "What two numbers multiply to -684 and add up to 45?"

The answer to your question is:

-12 and 57

Below we illustrate and prove that -12 and 57 multiply to -684 and add up to 45:

-12 × 57 = -684
-12 + 57 = 45

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

x² + 45x - 684 = 0

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

(x - 12 ) (x + 57)

To summarize, since -12 and 57 multiply to -684 and add up 45, you know that the following is true:

x² + 45x - 684 = (x - 12 ) (x + 57)

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.