What two numbers multiply to -309 and add up to -100?

Here we answer the question: "What two numbers multiply to -309 and add up to -100?"

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 -100:

-103 × 3 = -309
-103 + 3 = -100

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

x² - 100x - 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 -100, you know that the following is true:

x² - 100x - 309 = (x - 103 ) (x + 3)

Multiply To One Number and Add Up To Another
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