What two numbers multiply to 120 and add up to 22?

Here we answer the question: "What two numbers multiply to 120 and add up to 22?"

The answer to your question is:

10 and 12

Below we illustrate and prove that 10 and 12 multiply to 120 and add up to 22:

10 × 12 = 120
10 + 12 = 22

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

x² + 22x + 120 = 0

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

(x + 10 ) (x + 12)

To summarize, since 10 and 12 multiply to 120 and add up 22, you know that the following is true:

x² + 22x + 120 = (x + 10 ) (x + 12)

Multiply To One Number and Add Up To Another
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