What two numbers multiply to 824 and add up to -414?

Here we answer the question: "What two numbers multiply to 824 and add up to -414?"

The answer to your question is:

-412 and -2

Below we illustrate and prove that -412 and -2 multiply to 824 and add up to -414:

-412 × -2 = 824
-412 + -2 = -414

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

x² - 414x + 824 = 0

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

(x - 412 ) (x - 2)

To summarize, since -412 and -2 multiply to 824 and add up -414, you know that the following is true:

x² - 414x + 824 = (x - 412 ) (x - 2)

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.