We find all solutions to the Diophantine equations 2x + 3y2 = 4z and 2x + 7y2 = 4z: Also, we give solutions to 2x + dy2 = 4z in non-negative integers for d = (2k ¡ 1)=9, where k is a natural number ´ 0 (mod 6):
We find all solutions to the Diophantine equations 2x + 3y2 = 4z and 2x + 7y2 = 4z: Also, we give solutions to2x + dy2 = 4z in non-negative integers for d = (2k ¡ 1)=9, where k is a natural number ´ 0 (mod 6):