What two numbers multiply to 72 and add up to -73?

Here we answer the question: "What two numbers multiply to 72 and add up to -73?"

The answer to your question is:

-72 and -1

Below we illustrate and prove that -72 and -1 multiply to 72 and add up to -73:

-72 × -1 = 72
-72 + -1 = -73

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

x² - 73x + 72 = 0

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

(x - 72 ) (x - 1)

To summarize, since -72 and -1 multiply to 72 and add up -73, you know that the following is true:

x² - 73x + 72 = (x - 72 ) (x - 1)

Multiply To One Number and Add Up To Another
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