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:

11 and 19

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

11 × 19 = 209
11 + 19 = 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 + 11 ) (x + 19)

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

x² + 30x + 209 = (x + 11 ) (x + 19)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.