If the sum of the roots of the equation `ax^2 +bx +c=0` is equal to sum of the squares of their reciprocals, then `bc^2,ca^2 ,ab^2` are in

If the sum of the roots of the equation ax^(2) + bx+ c = 0 is equal to the sum of their squares then

The sum of the roots of the equation x^2+ px + q= 0 is equal to the sum of their squares, then

If the sum of the roots of the equation ax^2+bx+c=0 is equal to the sum of the reciprocal of their squares, then bc^2, ca^2 and ab^2 are in

If the sum of the roots of the quadratic equation ax^2+bx+c=0 is equal to the sum of the squares of their reciprocals, show that bc^2,ca^2,ab^2 are in Arithmetic Progression (AP). It is well known that if any three consecutive terms, form a sequence, are such ttiat the difference between any two consecutive terms is same' then they are in AP.

If the sum of the roots of the quadratic equations ax^(2) + bx+c=0 is equal to the sum of the squares of their reciprocals, then be (b^2)/(ac) + (bc)/(a^2) =

If the sum of the roots of the quadrati equation ax^(2)+bx+c=0 is cqual to the sum of the squares of their reciprocals.Show that be ca ab are in A.P.