Question

Relation between roots and coefficients of bi quadratic equation

Answer 1

coefficient of -(x^3/x^4) gives sum of roots (i.e alpha+beta+Gama+Delta)

coefficient of (x^2/x^4) gives sigma(alpha×beta) i.e alpha×beta+beta×gama+gama×delta+delta×alpha

coefficient of -(x^1/x^4) gives sigma alpha×beta×gama

i.e alpha×beta×gama+beta×gama×delta +gama×delta×alpha+delta×alpha×beta

and last constant term (C/x^4) gives product of roots i.e alpha×beta×gama×delta.

similarly we can get results for x^5 or more degree equation

hope it helps...