SOLUTION: The sum of 2 numbers is 1 and their product is 1. What are the 2 numbers?

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Question 429893: The sum of 2 numbers is 1 and their product is 1. What are the 2 numbers?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x*(1-x) = 1


Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -3 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -3 is + or - .

The solution is , or
Here's your graph:

------------------
--> 1/2 + isqrt(3)/2
and 1/2 - isqrt(3)/2

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