What two numbers multiply to -72 and add up to 21?

Here we answer the question: "What two numbers multiply to -72 and add up to 21?"

The answer to your question is:

-3 and 24

Below we illustrate and prove that -3 and 24 multiply to -72 and add up to 21:

-3 × 24 = -72
-3 + 24 = 21

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

x² + 21x - 72 = 0

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

(x - 3 ) (x + 24)

To summarize, since -3 and 24 multiply to -72 and add up 21, you know that the following is true:

x² + 21x - 72 = (x - 3 ) (x + 24)

Multiply To One Number and Add Up To Another
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