What two numbers multiply to 67 and add up to -68?

Here we answer the question: "What two numbers multiply to 67 and add up to -68?"

The answer to your question is:

-67 and -1

Below we illustrate and prove that -67 and -1 multiply to 67 and add up to -68:

-67 × -1 = 67
-67 + -1 = -68

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

x² - 68x + 67 = 0

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

(x - 67 ) (x - 1)

To summarize, since -67 and -1 multiply to 67 and add up -68, you know that the following is true:

x² - 68x + 67 = (x - 67 ) (x - 1)

Multiply To One Number and Add Up To Another
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