What two numbers multiply to 309 and add up to 106?

Here we answer the question: "What two numbers multiply to 309 and add up to 106?"

The answer to your question is:

3 and 103

Below we illustrate and prove that 3 and 103 multiply to 309 and add up to 106:

3 × 103 = 309
3 + 103 = 106

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

x² + 106x + 309 = 0

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

(x + 3 ) (x + 103)

To summarize, since 3 and 103 multiply to 309 and add up 106, you know that the following is true:

x² + 106x + 309 = (x + 3 ) (x + 103)

Multiply To One Number and Add Up To Another
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