Explore advanced algebraic concepts in this comprehensive Algebra 2 course focusing on quadratic equations and their solutions. Learn to visualize roots of linear, quadratic, cubic, and quartic equations. Master techniques for solving perfect square quadratic equations and practice completing the square method through multiple examples. Dive deep into the quadratic formula, understanding its derivation and application in various problem-solving scenarios. Examine the discriminant of quadratic equations and its significance in determining the nature of roots. Conclude by investigating imaginary and complex roots, gaining insight into their mathematical meaning and relevance in algebraic problem-solving.