What two numbers multiply to 60 and add up to 17?

Here we answer the question: "What two numbers multiply to 60 and add up to 17?"

The answer to your question is:

5 and 12

Below we illustrate and prove that 5 and 12 multiply to 60 and add up to 17:

5 × 12 = 60
5 + 12 = 17

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

x² + 17x + 60 = 0

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

(x + 5 ) (x + 12)

To summarize, since 5 and 12 multiply to 60 and add up 17, you know that the following is true:

x² + 17x + 60 = (x + 5 ) (x + 12)

Multiply To One Number and Add Up To Another
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