What two numbers multiply to 12 and add up to 13?

Here we answer the question: "What two numbers multiply to 12 and add up to 13?"

The answer to your question is:

1 and 12

Below we illustrate and prove that 1 and 12 multiply to 12 and add up to 13:

1 × 12 = 12
1 + 12 = 13

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

x² + 13x + 12 = 0

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

(x + 1 ) (x + 12)

To summarize, since 1 and 12 multiply to 12 and add up 13, you know that the following is true:

x² + 13x + 12 = (x + 1 ) (x + 12)

Multiply To One Number and Add Up To Another
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