What two numbers multiply to 309 and add up to -310?

Here we answer the question: "What two numbers multiply to 309 and add up to -310?"

The answer to your question is:

-309 and -1

Below we illustrate and prove that -309 and -1 multiply to 309 and add up to -310:

-309 × -1 = 309
-309 + -1 = -310

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

x² - 310x + 309 = 0

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

(x - 309 ) (x - 1)

To summarize, since -309 and -1 multiply to 309 and add up -310, you know that the following is true:

x² - 310x + 309 = (x - 309 ) (x - 1)

Multiply To One Number and Add Up To Another
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