One equals two
Let A = B,
-A.B = -B^2 (multiply both sides by minus B)
A^2 - A.B = A^2 - B^2 (add A-squared to both sides)
A.(A-B) = (A+B).(A-B) (factorise)
A = A + B (divide both sides by (A-B))
A = 2.A (substitute A = B, from the initial assumption)
1 = 2 (divide both sides by A)
q.e.d.
View topic
