What two numbers multiply to -1 and add up to 0?

Here we answer the question: "What two numbers multiply to -1 and add up to 0?"

The answer to your question is:

-1 and 1

Below we illustrate and prove that -1 and 1 multiply to -1 and add up to 0:

-1 × 1 = -1
-1 + 1 = 0

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

x² + 0x - 1 = 0

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

(x - 1 ) (x + 1)

To summarize, since -1 and 1 multiply to -1 and add up 0, you know that the following is true:

x² + 0x - 1 = (x - 1 ) (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.