What two numbers multiply to 105 and add up to 22?

Here we answer the question: "What two numbers multiply to 105 and add up to 22?"

The answer to your question is:

7 and 15

Below we illustrate and prove that 7 and 15 multiply to 105 and add up to 22:

7 × 15 = 105
7 + 15 = 22

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

x² + 22x + 105 = 0

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

(x + 7 ) (x + 15)

To summarize, since 7 and 15 multiply to 105 and add up 22, you know that the following is true:

x² + 22x + 105 = (x + 7 ) (x + 15)

Multiply To One Number and Add Up To Another
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