Quadratic Equations and Complex Numbers - Chapter 4 Review with Examples

Overview

Watch a comprehensive mathematics video tutorial that provides a detailed chapter review covering essential topics in intermediate mathematics. Master key concepts including properties of radicals, solving quadratic equations through various methods (graphing, square roots, completing the square, and quadratic formula), working with complex numbers, solving quadratic equations with complex solutions, tackling nonlinear systems of equations, and understanding quadratic inequalities. Follow along with 57 worked examples and problem sets, complete with downloadable resources including textbook materials and graph paper. Each section is clearly timestamped for easy navigation through specific topics and problems, making it an ideal resource for both self-study and exam preparation in advanced algebra concepts.

Syllabus

Introduction
4.1 - PROPERTIES OF RADICALS
Problem #1
Problem #2
Problem #3
Problem #4
Problem #5
Problem #6
Problem #7
Problem #8
4.2 - SOLVING QUADRATIC EQUATIONS BY GRAPHING
Problem #9
Problem #10
Problem #11
Problem #12
Problem #13
4.3 - SOLVING QUADRATIC EQUATIONS USING SQUARE ROOTS
Problem #14
Problem #15
Problem #16
Problem #17
Problem #18
Problem #19
4.4 - SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE
Problem #20
Problem #21
Problem #22
Problem #23
Problem #24
Problem #25
Problem #26
4.5 - SOLVING QUADRATIC EQUATIONS USING THE QUADRATIC FORMULA
Problem #27
Problem #28
Problem #29
Problem #30
Problem #31
Problem #32
4.6 - COMPLEX NUMBERS
Problem #33
Problem #34
Problem #35
Problem #36
Problem #37
4.7 - SOLVING QUADRATIC EQUATIONS WITH COMPLEX SOLUTIONS
Problem #38
Problem #39
Problem #40
Problem #41
Problem #42
Problem #43
Problem #44
Problem #45
Problem #46
Problem #47
4.8 - SOLVING NONLINEAR SYSTEMS OF EQUATIONS
Problem #48
Problem #49
1:46:53 Problem #50* see above comment
4.9 - QUADRATIC INEQUALITIES
Problem #51
Problem #52
Problem #53
Problem #54
Problem #55
Problem #56
Problem #57