What two numbers multiply to 204 and add up to -205?

Here we answer the question: "What two numbers multiply to 204 and add up to -205?"

The answer to your question is:

-204 and -1

Below we illustrate and prove that -204 and -1 multiply to 204 and add up to -205:

-204 × -1 = 204
-204 + -1 = -205

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

x² - 205x + 204 = 0

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

(x - 204 ) (x - 1)

To summarize, since -204 and -1 multiply to 204 and add up -205, you know that the following is true:

x² - 205x + 204 = (x - 204 ) (x - 1)

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.