What two numbers multiply to 100 and add up to -101?

Here we answer the question: "What two numbers multiply to 100 and add up to -101?"

The answer to your question is:

-100 and -1

Below we illustrate and prove that -100 and -1 multiply to 100 and add up to -101:

-100 × -1 = 100
-100 + -1 = -101

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

x² - 101x + 100 = 0

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

(x - 100 ) (x - 1)

To summarize, since -100 and -1 multiply to 100 and add up -101, you know that the following is true:

x² - 101x + 100 = (x - 100 ) (x - 1)

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.