What two numbers multiply to 545 and add up to -114?

Here we answer the question: "What two numbers multiply to 545 and add up to -114?"

The answer to your question is:

-109 and -5

Below we illustrate and prove that -109 and -5 multiply to 545 and add up to -114:

-109 × -5 = 545
-109 + -5 = -114

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

x² - 114x + 545 = 0

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

(x - 109 ) (x - 5)

To summarize, since -109 and -5 multiply to 545 and add up -114, you know that the following is true:

x² - 114x + 545 = (x - 109 ) (x - 5)

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.