What two numbers multiply to 22 and add up to 13?

Here we answer the question: "What two numbers multiply to 22 and add up to 13?"

The answer to your question is:

2 and 11

Below we illustrate and prove that 2 and 11 multiply to 22 and add up to 13:

2 × 11 = 22
2 + 11 = 13

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

x² + 13x + 22 = 0

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

(x + 2 ) (x + 11)

To summarize, since 2 and 11 multiply to 22 and add up 13, you know that the following is true:

x² + 13x + 22 = (x + 2 ) (x + 11)

Multiply To One Number and Add Up To Another
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