What two numbers multiply to -574 and add up to 285?

Here we answer the question: "What two numbers multiply to -574 and add up to 285?"

The answer to your question is:

-2 and 287

Below we illustrate and prove that -2 and 287 multiply to -574 and add up to 285:

-2 × 287 = -574
-2 + 287 = 285

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

x² + 285x - 574 = 0

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

(x - 2 ) (x + 287)

To summarize, since -2 and 287 multiply to -574 and add up 285, you know that the following is true:

x² + 285x - 574 = (x - 2 ) (x + 287)

Multiply To One Number and Add Up To Another
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