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:

-103 and -3

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

-103 × -3 = 309
-103 + -3 = -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 - 103 ) (x - 3)

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

x² - 106x + 309 = (x - 103 ) (x - 3)

Multiply To One Number and Add Up To Another
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