What two numbers multiply to 289 and add up to -290?

Here we answer the question: "What two numbers multiply to 289 and add up to -290?"

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 -290:

-289 × -1 = 289
-289 + -1 = -290

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

x² - 290x + 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 -290, you know that the following is true:

x² - 290x + 289 = (x - 289 ) (x - 1)

Multiply To One Number and Add Up To Another
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