What two numbers multiply to 72 and add up to -27?

Here we answer the question: "What two numbers multiply to 72 and add up to -27?"

The answer to your question is:

-24 and -3

Below we illustrate and prove that -24 and -3 multiply to 72 and add up to -27:

-24 × -3 = 72
-24 + -3 = -27

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

x² - 27x + 72 = 0

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

(x - 24 ) (x - 3)

To summarize, since -24 and -3 multiply to 72 and add up -27, you know that the following is true:

x² - 27x + 72 = (x - 24 ) (x - 3)

Multiply To One Number and Add Up To Another
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