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.
Overview
Syllabus
01 - Visualize Roots of Equations - Linear, Quadratic, Cubic, Quartic Solutions.
02 - Solve Perfect Square Quadratic Equations Part 1.
03 - Solve Perfect Square Quadratic Equations - Part 2.
04 - Completing the Square to Solve Quadratic Equations - Part 1.
05 - Completing The Square - Part 2.
06 - Completing The Square - Part 3.
07 - Completing The Square - Part 4.
08 - Completing The Square - Part 5.
09 - The Quadratic Formula Explained, Part 1 (Practice Problems & Solutions).
10 - The Quadratic Formula - Part 2.
11 - The Quadratic Formula - Part 3.
12 - The Quadratic Formula - Part 4.
13 - The Quadratic Formula - Part 5.
14 - The Discriminant of a Quadratic, Part 1 (Quadratic Formula Problems).
15 - The Discriminant Of A Quadratic - Part 2.
16 - What do Imaginary & Complex Roots of Equations Mean?.
Taught by
mathandscience
