What two numbers multiply to 114 and add up to -41?

Here we answer the question: "What two numbers multiply to 114 and add up to -41?"

The answer to your question is:

-38 and -3

Below we illustrate and prove that -38 and -3 multiply to 114 and add up to -41:

-38 × -3 = 114
-38 + -3 = -41

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

x² - 41x + 114 = 0

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

(x - 38 ) (x - 3)

To summarize, since -38 and -3 multiply to 114 and add up -41, you know that the following is true:

x² - 41x + 114 = (x - 38 ) (x - 3)

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.