What two numbers multiply to 209 and add up to -30?

Here we answer the question: "What two numbers multiply to 209 and add up to -30?"

The answer to your question is:

-19 and -11

Below we illustrate and prove that -19 and -11 multiply to 209 and add up to -30:

-19 × -11 = 209
-19 + -11 = -30

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

x² - 30x + 209 = 0

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

(x - 19 ) (x - 11)

To summarize, since -19 and -11 multiply to 209 and add up -30, you know that the following is true:

x² - 30x + 209 = (x - 19 ) (x - 11)

Multiply To One Number and Add Up To Another
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