What two numbers multiply to 66 and add up to -67?

Here we answer the question: "What two numbers multiply to 66 and add up to -67?"

The answer to your question is:

-66 and -1

Below we illustrate and prove that -66 and -1 multiply to 66 and add up to -67:

-66 × -1 = 66
-66 + -1 = -67

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

x² - 67x + 66 = 0

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

(x - 66 ) (x - 1)

To summarize, since -66 and -1 multiply to 66 and add up -67, you know that the following is true:

x² - 67x + 66 = (x - 66 ) (x - 1)

Multiply To One Number and Add Up To Another
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