What two numbers multiply to 56 and add up to -57?

Here we answer the question: "What two numbers multiply to 56 and add up to -57?"

The answer to your question is:

-56 and -1

Below we illustrate and prove that -56 and -1 multiply to 56 and add up to -57:

-56 × -1 = 56
-56 + -1 = -57

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

x² - 57x + 56 = 0

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

(x - 56 ) (x - 1)

To summarize, since -56 and -1 multiply to 56 and add up -57, you know that the following is true:

x² - 57x + 56 = (x - 56 ) (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.