What two numbers multiply to 72 and add up to 22?

Here we answer the question: "What two numbers multiply to 72 and add up to 22?"

The answer to your question is:

4 and 18

Below we illustrate and prove that 4 and 18 multiply to 72 and add up to 22:

4 × 18 = 72
4 + 18 = 22

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

x² + 22x + 72 = 0

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

(x + 4 ) (x + 18)

To summarize, since 4 and 18 multiply to 72 and add up 22, you know that the following is true:

x² + 22x + 72 = (x + 4 ) (x + 18)

Multiply To One Number and Add Up To Another
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