If the sum of the rotsof the equation `px^2+qx+r=0` be equal to the sum of their squares, show that `2pr=pq+q^2`

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 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 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

Discuss the signs of the roots of the equation px^(2)+qx+r=0

If the roots of the equation px^(2)+qx+r=0 are in the ratio l:m then