What two numbers multiply to 112 and add up to -23?

Here we answer the question: "What two numbers multiply to 112 and add up to -23?"

The answer to your question is:

-16 and -7

Below we illustrate and prove that -16 and -7 multiply to 112 and add up to -23:

-16 × -7 = 112
-16 + -7 = -23

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

x² - 23x + 112 = 0

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

(x - 16 ) (x - 7)

To summarize, since -16 and -7 multiply to 112 and add up -23, you know that the following is true:

x² - 23x + 112 = (x - 16 ) (x - 7)

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.