What two numbers multiply to 400 and add up to -85?

Here we answer the question: "What two numbers multiply to 400 and add up to -85?"

The answer to your question is:

-80 and -5

Below we illustrate and prove that -80 and -5 multiply to 400 and add up to -85:

-80 × -5 = 400
-80 + -5 = -85

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

x² - 85x + 400 = 0

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

(x - 80 ) (x - 5)

To summarize, since -80 and -5 multiply to 400 and add up -85, you know that the following is true:

x² - 85x + 400 = (x - 80 ) (x - 5)

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.