If `alpha and beta` are the roots of the equation `px^(2) + qx + 1`= , find `alpha^(2) beta + beta^(2)alpha`.

If alphaand beta the roots of the equation px^2+qx+1=0, find alpha^2beta^2.

If alpha , beta are the roots of the equation x^(2)-px+q=0 , then (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is equal to :

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

If alpha and beta are roots of the equation px^(2)+qx+1=0 , then the value of alpha^(3)beta^(2)+alpha^(2)beta^(3) is

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

If alpha,beta are the roots of the equation 3x^(2)-6x+4=0 , find the value of ((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3alphabeta .

If alpha,beta are the roots of the equation x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+alpha^(-2)beta^(2) ?

If alpha and beta are the roots of the equations x^(2)-2x-1=0 , then what is the value of alpha^(2)beta^(-2)+beta^(2)alpha^(-2)

If alpha and beta are the roots of the equation 3x^(2) -4x+ 1 =0 ,find the equation whose roots are (alpha^(2))/( beta) and ( beta^(2))/( alpha )

If alpha and beta are the roots of the quadratic equation px^(2)+qx+1 , Then the value of alphabeta+alpha^(2)beta^(2) is