What two numbers multiply to -289 and add up to 0?

Here we answer the question: "What two numbers multiply to -289 and add up to 0?"

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 0:

-17 × 17 = -289
-17 + 17 = 0

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

x² + 0x - 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 0, you know that the following is true:

x² + 0x - 289 = (x - 17 ) (x + 17)

Multiply To One Number and Add Up To Another
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