What two numbers multiply to 120 and add up to 23?

Here we answer the question: "What two numbers multiply to 120 and add up to 23?"

The answer to your question is:

8 and 15

Below we illustrate and prove that 8 and 15 multiply to 120 and add up to 23:

8 × 15 = 120
8 + 15 = 23

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

x² + 23x + 120 = 0

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

(x + 8 ) (x + 15)

To summarize, since 8 and 15 multiply to 120 and add up 23, you know that the following is true:

x² + 23x + 120 = (x + 8 ) (x + 15)

Multiply To One Number and Add Up To Another
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