What two numbers multiply to 16 and add up to -17?

Here we answer the question: "What two numbers multiply to 16 and add up to -17?"

The answer to your question is:

-16 and -1

Below we illustrate and prove that -16 and -1 multiply to 16 and add up to -17:

-16 × -1 = 16
-16 + -1 = -17

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

x² - 17x + 16 = 0

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

(x - 16 ) (x - 1)

To summarize, since -16 and -1 multiply to 16 and add up -17, you know that the following is true:

x² - 17x + 16 = (x - 16 ) (x - 1)

Multiply To One Number and Add Up To Another
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