What two numbers multiply to 306 and add up to -105?

Here we answer the question: "What two numbers multiply to 306 and add up to -105?"

The answer to your question is:

-102 and -3

Below we illustrate and prove that -102 and -3 multiply to 306 and add up to -105:

-102 × -3 = 306
-102 + -3 = -105

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

x² - 105x + 306 = 0

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

(x - 102 ) (x - 3)

To summarize, since -102 and -3 multiply to 306 and add up -105, you know that the following is true:

x² - 105x + 306 = (x - 102 ) (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.