What two numbers multiply to -578 and add up to 287?

Here we answer the question: "What two numbers multiply to -578 and add up to 287?"

The answer to your question is:

-2 and 289

Below we illustrate and prove that -2 and 289 multiply to -578 and add up to 287:

-2 × 289 = -578
-2 + 289 = 287

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

x² + 287x - 578 = 0

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

(x - 2 ) (x + 289)

To summarize, since -2 and 289 multiply to -578 and add up 287, you know that the following is true:

x² + 287x - 578 = (x - 2 ) (x + 289)

Multiply To One Number and Add Up To Another
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