What two numbers multiply to 214 and add up to 109?

Here we answer the question: "What two numbers multiply to 214 and add up to 109?"

The answer to your question is:

2 and 107

Below we illustrate and prove that 2 and 107 multiply to 214 and add up to 109:

2 × 107 = 214
2 + 107 = 109

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

x² + 109x + 214 = 0

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

(x + 2 ) (x + 107)

To summarize, since 2 and 107 multiply to 214 and add up 109, you know that the following is true:

x² + 109x + 214 = (x + 2 ) (x + 107)

Multiply To One Number and Add Up To Another
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