if the sum of the roots of the equation ax2 + bx + c = 0 is equal to the - Maths - Complex Numbers and Quadratic Equations

Question

if the sum of the roots of the equation ax2 + bx + c = 0 is
equal to the sum of the squares of their squares of their
reciprocals , then show that bc2 , ca2 ,
ab2 are in A P

Himanshu · Accepted Answer

if the sum of the roots of the equation ax2 + bx + c = 0 is equal to the sum of the squares of their squares of their reciprocals , then show that bc2 , ca2 , ab2 are in A.P.

if the sum of the roots of the equation ax2 + bx + c = 0 is equal to the sum of the squares of their squares of their reciprocals , then show that bc² , ca² , ab² are in A.P.