What two numbers multiply to 972 and add up to -72?

Here we answer the question: "What two numbers multiply to 972 and add up to -72?"

The answer to your question is:

-54 and -18

Below we illustrate and prove that -54 and -18 multiply to 972 and add up to -72:

-54 × -18 = 972
-54 + -18 = -72

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

x² - 72x + 972 = 0

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

(x - 54 ) (x - 18)

To summarize, since -54 and -18 multiply to 972 and add up -72, you know that the following is true:

x² - 72x + 972 = (x - 54 ) (x - 18)

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.