What two numbers multiply to 120 and add up to 26?

Here we answer the question: "What two numbers multiply to 120 and add up to 26?"

The answer to your question is:

6 and 20

Below we illustrate and prove that 6 and 20 multiply to 120 and add up to 26:

6 × 20 = 120
6 + 20 = 26

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

x² + 26x + 120 = 0

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

(x + 6 ) (x + 20)

To summarize, since 6 and 20 multiply to 120 and add up 26, you know that the following is true:

x² + 26x + 120 = (x + 6 ) (x + 20)

Multiply To One Number and Add Up To Another
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