What two numbers multiply to -102 and add up to -31?

Here we answer the question: "What two numbers multiply to -102 and add up to -31?"

The answer to your question is:

-34 and 3

Below we illustrate and prove that -34 and 3 multiply to -102 and add up to -31:

-34 × 3 = -102
-34 + 3 = -31

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

x² - 31x - 102 = 0

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

(x - 34 ) (x + 3)

To summarize, since -34 and 3 multiply to -102 and add up -31, you know that the following is true:

x² - 31x - 102 = (x - 34 ) (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.