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 squares of their reciprocals, then show that bc^2, ca^2, ab^2 are in A.P.

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 quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b 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, then a/c, b/a and c/b 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, then prove that 2a^(2)c = c^(2)b + B^(2)a.

If the sum of the roots of the equation a x^(2)+b x+c=0 is equal to the sum of the squares of their reciprocals, then

The sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their recipocals, prove that (c)/(a),(a)/(b),(b)/(c) are in A.P.

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 quadratic equation ax^(2)+bx+c=0 is equal to the sum of the square of their reciprocals,then (a)/(c),(b)/(a) and (c)/(b) are in