What is the displacement of a body in SHM when the potential energy becomes three times than kinetic energy?

Explanation

`(1)/(3)U =K`
`(1)/(3) (kx^(2))/(2) = (1)/(2)k(A^(2)-x^(2))`
`therefore x^(2) = 3A^(2) -3x^(2)`
`therefore 4x^(2) = 3A^(2)`
`therefore x^(2)= (3A^2)/(4)`
`therefore x = pm (sqrt(3)A)/(sqrt(2))`.