Solving Equations in General

This video corresponds to chapter 7.4 in the ORCCA textbook. Note: I was definitely moving a little fast in this one – in my example using the Quadratic Formula (starts at 16:19) I make a blatant algebra error (dropping the square root) at around 20:35 (it also gets flagged in the video), as well as using an unnecessarily complicated approach to solving at around 20:58. I truly apologize for the mistakes! For this problem (x^2 – 6x + 8 = 0), the correct solutions should be 4 and 2, not 5 and 1.

Timestamps:

00:00 Introduction/The Different Kinds of Equations So Far
02:51 Solving a Linear Equation with One Variable Term
04:18 Solving a Quadratic Equation with One Variable Term (the Square Root Method)
07:16 Solving a Radical Equation with One Variable Term
12:26 Solving a Linear Equation with More Than One Variable Term
16:19 Solving a Quadratic Equation with More Than One Variable Term (the Quadratic Formula)
24:00 Solving a Radical Equation with More Than One Variable Term
30:56 Solving a Radical Equation with More Than One Variable Term (which becomes a Quadratic Equation midway through)
40:40 Henry interlude / Solving on a Linear Formula Equation
46:01 Solving on a Quadratic Formula Equation
50:42 Summary