If x = y ( 2 3 - ) = z ( 2 3 + ) , then the value of (x+y+z) is equal to

Step-by-step solution

Since, it is given that aligned x & = y ( 2 3 - ) = z ( 2 3 + ) =k( let ) x= & k , y=k ( 2 3 - ) and z & =k ( 2 3 + ) x+y+z & =k & [ + ( 2 3 - )+ ( 2 3 + ) ] & =k [ +2 2 3 ] & =k [ +2 (- 1 2 ) ] & =k[ - ]=0 aligned