What two numbers multiply to -512 and add up to 56?

Here we answer the question: "What two numbers multiply to -512 and add up to 56?"

The answer to your question is:

-8 and 64

Below we illustrate and prove that -8 and 64 multiply to -512 and add up to 56:

-8 × 64 = -512
-8 + 64 = 56

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

x² + 56x - 512 = 0

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

(x - 8 ) (x + 64)

To summarize, since -8 and 64 multiply to -512 and add up 56, you know that the following is true:

x² + 56x - 512 = (x - 8 ) (x + 64)

Multiply To One Number and Add Up To Another
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