What two numbers multiply to 66 and add up to -17?

Here we answer the question: "What two numbers multiply to 66 and add up to -17?"

The answer to your question is:

-11 and -6

Below we illustrate and prove that -11 and -6 multiply to 66 and add up to -17:

-11 × -6 = 66
-11 + -6 = -17

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

x² - 17x + 66 = 0

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

(x - 11 ) (x - 6)

To summarize, since -11 and -6 multiply to 66 and add up -17, you know that the following is true:

x² - 17x + 66 = (x - 11 ) (x - 6)

Multiply To One Number and Add Up To Another
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