1. The problem statement, all variables and given/known data Prove that if x is a real number then 2x2-3=0 2. Relevant equations 3. The attempt at a solution Well I think this proof is OK but it seems very to the point, please tell me if there is any fallacy in my reasoning. 2x2-3=0 2x2=3 but 2x2 is even, while 3 is odd Hence x must be irrational for all real x. ??