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

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

The answer to your question is:

-288 and -1

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

-288 × -1 = 288
-288 + -1 = -289

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

x² - 289x + 288 = 0

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

(x - 288 ) (x - 1)

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

x² - 289x + 288 = (x - 288 ) (x - 1)

Multiply To One Number and Add Up To Another
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