What two numbers multiply to -576 and add up to 55?

Here we answer the question: "What two numbers multiply to -576 and add up to 55?"

The answer to your question is:

-9 and 64

Below we illustrate and prove that -9 and 64 multiply to -576 and add up to 55:

-9 × 64 = -576
-9 + 64 = 55

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

x² + 55x - 576 = 0

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

(x - 9 ) (x + 64)

To summarize, since -9 and 64 multiply to -576 and add up 55, you know that the following is true:

x² + 55x - 576 = (x - 9 ) (x + 64)

Multiply To One Number and Add Up To Another
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