What two numbers multiply to -66 and add up to 31?

Here we answer the question: "What two numbers multiply to -66 and add up to 31?"

The answer to your question is:

-2 and 33

Below we illustrate and prove that -2 and 33 multiply to -66 and add up to 31:

-2 × 33 = -66
-2 + 33 = 31

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

x² + 31x - 66 = 0

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

(x - 2 ) (x + 33)

To summarize, since -2 and 33 multiply to -66 and add up 31, you know that the following is true:

x² + 31x - 66 = (x - 2 ) (x + 33)

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.