What two numbers multiply to -192 and add up to 61?

Here we answer the question: "What two numbers multiply to -192 and add up to 61?"

The answer to your question is:

-3 and 64

Below we illustrate and prove that -3 and 64 multiply to -192 and add up to 61:

-3 × 64 = -192
-3 + 64 = 61

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

x² + 61x - 192 = 0

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

(x - 3 ) (x + 64)

To summarize, since -3 and 64 multiply to -192 and add up 61, you know that the following is true:

x² + 61x - 192 = (x - 3 ) (x + 64)

Multiply To One Number and Add Up To Another
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