What two numbers multiply to 212 and add up to -57?

Here we answer the question: "What two numbers multiply to 212 and add up to -57?"

The answer to your question is:

-53 and -4

Below we illustrate and prove that -53 and -4 multiply to 212 and add up to -57:

-53 × -4 = 212
-53 + -4 = -57

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

x² - 57x + 212 = 0

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

(x - 53 ) (x - 4)

To summarize, since -53 and -4 multiply to 212 and add up -57, you know that the following is true:

x² - 57x + 212 = (x - 53 ) (x - 4)

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.