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:

-1 and 289

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

-1 × 289 = -289
-1 + 289 = 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 - 1 ) (x + 289)

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

x² + 288x - 289 = (x - 1 ) (x + 289)

Multiply To One Number and Add Up To Another
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