What two numbers multiply to 55 and add up to -56?

Here we answer the question: "What two numbers multiply to 55 and add up to -56?"

The answer to your question is:

-55 and -1

Below we illustrate and prove that -55 and -1 multiply to 55 and add up to -56:

-55 × -1 = 55
-55 + -1 = -56

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

x² - 56x + 55 = 0

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

(x - 55 ) (x - 1)

To summarize, since -55 and -1 multiply to 55 and add up -56, you know that the following is true:

x² - 56x + 55 = (x - 55 ) (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.