How to solve problems in Quadratic equations & expressions

1. learn the properties of roots, their sum, products and variation of roots based on the value of the discriminant....
2. learn conjugate pairs of  roots for irrational roots, and complex roots....
3. learn about the max, and min values Quadr. expression by fulfilling square involving the 2nd degree terms in y, x, as it is ....applying the basic concept of the minimum value of squared value of real number being zero....
4. learn about the properties of cubic and bi-quadratic equations..their sum,sum of products of pairs, triplets etc...
5. being a multi-disciplinary chapter , basic concepts of AP-GP-HP might be required at certain places...