What two numbers multiply to 289 and add up to -34?

Here we answer the question: "What two numbers multiply to 289 and add up to -34?"

The answer to your question is:

-17 and -17

Below we illustrate and prove that -17 and -17 multiply to 289 and add up to -34:

-17 × -17 = 289
-17 + -17 = -34

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

x² - 34x + 289 = 0

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

(x - 17 ) (x - 17)

To summarize, since -17 and -17 multiply to 289 and add up -34, you know that the following is true:

x² - 34x + 289 = (x - 17 ) (x - 17)

Multiply To One Number and Add Up To Another
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