please solve it perfectly

Problem 5: Find the normal frequencies and normal modes of three particles of unit mass connected pairwise by two springs of unit force constant. The kinetic energy is T = (3+ +) and the potential energy is V = (x2 - 21) + }(as -22). The equations of motion are htm - 12 =0. To - in1 + 212 - 12 = 0, 3 - 12 + 13 = 0