What two numbers multiply to -585 and add up to 192?

Here we answer the question: "What two numbers multiply to -585 and add up to 192?"

The answer to your question is:

-3 and 195

Below we illustrate and prove that -3 and 195 multiply to -585 and add up to 192:

-3 × 195 = -585
-3 + 195 = 192

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

x² + 192x - 585 = 0

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

(x - 3 ) (x + 195)

To summarize, since -3 and 195 multiply to -585 and add up 192, you know that the following is true:

x² + 192x - 585 = (x - 3 ) (x + 195)

Multiply To One Number and Add Up To Another
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