Question

Solve any two of the following subquestions :
(i) If the sum of the roots of the quadratic equation ax? + bx+c = 0 is equal to the
sum of the squares of their reciprocals, then prove that 2a²c = c²b + b²a.​

Answer 1

let the roots be alpha and beta

we know alpha+beta=-b/a

and alpha×beta=c/a