Step 1: -1/1 = 1/-1
Step 2: Taking the square root of both sides:
Step 3: Simplifying:
Step 4: In other words, i/1 = 1/i.
Step 5: Therefore, i / 2 = 1 / (2i),
Step 6: i/2 + 3/(2i) = 1/(2i) + 3/(2i),
Step 7: i (i/2 + 3/(2i) ) = i ( 1/(2i) + 3/(2i) ),
Step 8: ,
Step 9: (-1)/2 + 3/2 = 1/2 + 3/2,
Step 10: and this shows that 1=2.
http://www.math.toronto.edu/mathnet/falseProofs/second1eq2.html