What two numbers multiply to 400 and add up to -50?

Here we answer the question: "What two numbers multiply to 400 and add up to -50?"

The answer to your question is:

-40 and -10

Below we illustrate and prove that -40 and -10 multiply to 400 and add up to -50:

-40 × -10 = 400
-40 + -10 = -50

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

x² - 50x + 400 = 0

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

(x - 40 ) (x - 10)

To summarize, since -40 and -10 multiply to 400 and add up -50, you know that the following is true:

x² - 50x + 400 = (x - 40 ) (x - 10)

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.