Let2x²+1 = a²3x²+1 = b²6x²+1 = c²b²c² = (6x²+1)(3x²+1)= 18x^4+9x²+1= (3x)²(2x²+1)+1= (3x)²a²+1=> (bc)² = (3xa)²+1LHS is a perfect square whereas RHS is not a perfect square for x > 0So, the given statement is true.
Edited on January 12, 2010, 10:29 am
blackjack
flooble's webmaster puzzle