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:

-3 and 103

Below we illustrate and prove that -3 and 103 multiply to -309 and add up to 100:

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

To summarize, since -3 and 103 multiply to -309 and add up 100, you know that the following is true:

x² + 100x - 309 = (x - 3 ) (x + 103)

Multiply To One Number and Add Up To Another
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