What two numbers multiply to -289 and add up to -288?

Here we answer the question: "What two numbers multiply to -289 and add up to -288?"

The answer to your question is:

-289 and 1

Below we illustrate and prove that -289 and 1 multiply to -289 and add up to -288:

-289 × 1 = -289
-289 + 1 = -288

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

x² - 288x - 289 = 0

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

(x - 289 ) (x + 1)

To summarize, since -289 and 1 multiply to -289 and add up -288, you know that the following is true:

x² - 288x - 289 = (x - 289 ) (x + 1)

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.