If `alpha and beta` are the roots of the equation `ax ^(3) + bx + c=0,a,b, c in R , alpha ne 0` then which is (are) correct:

Options

A. `alpha ^(2) +beta ^(2) =(b ^(2) -2ac)/(a ^(2))`
B. `(1)/(alpha^(2))+(1)/(beta^(2))=(b^(2) -2ac)/(c ^(2))`
C. `(1)/(alpha^(3))+(1)/(beta^(3))=(abc -b^(3))/(c ^(3))`
D. `alpha beta (alpha+beta ) =(-bc)/(alpha ^(2))`

Answer

A, B, D