What two numbers multiply to -512 and add up to 16?

Here we answer the question: "What two numbers multiply to -512 and add up to 16?"

The answer to your question is:

-16 and 32

Below we illustrate and prove that -16 and 32 multiply to -512 and add up to 16:

-16 × 32 = -512
-16 + 32 = 16

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

x² + 16x - 512 = 0

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

(x - 16 ) (x + 32)

To summarize, since -16 and 32 multiply to -512 and add up 16, you know that the following is true:

x² + 16x - 512 = (x - 16 ) (x + 32)

Multiply To One Number and Add Up To Another
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