What two numbers multiply to -288 and add up to -28?

Here we answer the question: "What two numbers multiply to -288 and add up to -28?"

The answer to your question is:

-36 and 8

Below we illustrate and prove that -36 and 8 multiply to -288 and add up to -28:

-36 × 8 = -288
-36 + 8 = -28

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

x² - 28x - 288 = 0

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

(x - 36 ) (x + 8)

To summarize, since -36 and 8 multiply to -288 and add up -28, you know that the following is true:

x² - 28x - 288 = (x - 36 ) (x + 8)

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.