The P.E of a conservative system is given by  V​(x)  =   (x2−3x) J, where x is measured in metre.  Then its equilibrium position is at

given PE is V(x)=x2−3x At equilibrium , the P.E of a system is minimum, to find maximum or minimum value of PE , differentiate PE and equate to zero ∴      dvdx   =    0     ⇒    ddx   (x2−3x)   =    0 ⇒  2x  − 3  =   0 ⇒   x  =    32   ⇒x    =   1.5 m