What two numbers multiply to -576 and add up to 64?

Here we answer the question: "What two numbers multiply to -576 and add up to 64?"

The answer to your question is:

-8 and 72

Below we illustrate and prove that -8 and 72 multiply to -576 and add up to 64:

-8 × 72 = -576
-8 + 72 = 64

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

x² + 64x - 576 = 0

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

(x - 8 ) (x + 72)

To summarize, since -8 and 72 multiply to -576 and add up 64, you know that the following is true:

x² + 64x - 576 = (x - 8 ) (x + 72)

Multiply To One Number and Add Up To Another
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