What two numbers multiply to 217 and add up to 38?

Here we answer the question: "What two numbers multiply to 217 and add up to 38?"

The answer to your question is:

7 and 31

Below we illustrate and prove that 7 and 31 multiply to 217 and add up to 38:

7 × 31 = 217
7 + 31 = 38

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

x² + 38x + 217 = 0

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

(x + 7 ) (x + 31)

To summarize, since 7 and 31 multiply to 217 and add up 38, you know that the following is true:

x² + 38x + 217 = (x + 7 ) (x + 31)

Multiply To One Number and Add Up To Another
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