What two numbers multiply to 574 and add up to -289?

Here we answer the question: "What two numbers multiply to 574 and add up to -289?"

The answer to your question is:

-287 and -2

Below we illustrate and prove that -287 and -2 multiply to 574 and add up to -289:

-287 × -2 = 574
-287 + -2 = -289

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

x² - 289x + 574 = 0

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

(x - 287 ) (x - 2)

To summarize, since -287 and -2 multiply to 574 and add up -289, you know that the following is true:

x² - 289x + 574 = (x - 287 ) (x - 2)

Multiply To One Number and Add Up To Another
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