What two numbers multiply to 85 and add up to 22?

Here we answer the question: "What two numbers multiply to 85 and add up to 22?"

The answer to your question is:

5 and 17

Below we illustrate and prove that 5 and 17 multiply to 85 and add up to 22:

5 × 17 = 85
5 + 17 = 22

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

x² + 22x + 85 = 0

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

(x + 5 ) (x + 17)

To summarize, since 5 and 17 multiply to 85 and add up 22, you know that the following is true:

x² + 22x + 85 = (x + 5 ) (x + 17)

Multiply To One Number and Add Up To Another
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