question1: 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, show that bc , ca, ab...

question1: If the sum of the roots of the equation ax2+ bx + c =0 is equal to the sum of the squares of their reciprocals, show that bc² , ca², ab² are in A.P.

question 2: If one root of the quadratic equation ax2 + bx +c=0 is equal to nth power of the other , show that (acn)1/n+1 + (anc)1/n+1 + b=0