What two numbers multiply to -400 and add up to 96?

Here we answer the question: "What two numbers multiply to -400 and add up to 96?"

The answer to your question is:

-4 and 100

Below we illustrate and prove that -4 and 100 multiply to -400 and add up to 96:

-4 × 100 = -400
-4 + 100 = 96

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

x² + 96x - 400 = 0

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

(x - 4 ) (x + 100)

To summarize, since -4 and 100 multiply to -400 and add up 96, you know that the following is true:

x² + 96x - 400 = (x - 4 ) (x + 100)

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.