[" If "alpha,beta" are the roots of "],[ax^(2)+bx+c=0" then,the value "],[((alpha)/(beta)-(beta)/(alpha))^(2)" is "]

If alpha,beta are the roots of ax^(2)+bx+c=0 , find the value of (i) ((alpha)/(beta)-(beta)/(alpha))^(2) (ii) (alpha^(3))/(beta)+(beta^(3))/(alpha) .

If alpha,beta,gamma are the roots of x^(3)+ax^(2)+bx+c=0 then Sigma((alpha)/(beta)+(beta)/(alpha))=

IF alpha , beta are the roots of ax ^2 + bx +c=0 then (alpha ^2)/( beta ) +( beta ^2)/( alpha )

IF alpha , beta are the roots of ax^2+bx +c=0 then ((alpha )/(beta )-(beta )/( alpha ))^2 =

" If "alpha,beta" are roots of "ax^(2)+bx+c=0,a!=0" then the value of "(a^(2)+beta^2)/(alpha^(-2)+beta^(-2))=

If alpha,beta are the roots of ax^(2)+2bx+c=0 then (alpha)/(beta)+(beta)/(alpha)=

IF alpha , beta are the roots of ax ^2 +bx +c=0 then (1)/(alpha ^2) +(1)/(beta^2)=

If alpha,beta are the roots of the equation ax^(2)+bx+c=0, then prove that (alpha)/(beta)+(beta)/(alpha)=(b^(2)-2ac)/(ac)

If alpha and beta are the roots of equation ax^2 + bx + c = 0, then the value of alpha/beta + beta/alpha is

If alpha,beta are the roots of ax^(2)+bx+c-0 then alpha beta^(2)+alpha^(2)beta+alpha beta=