on Chapter 1 : Sequences and Series (1.6 Infinite Geometric Series #13 p. 73)
Chapter 2 : Absolute Value and Radicals (2.5 Solving Radical Equations #11 p. 149)
Chapter 3 : Solving Quadratic Equations (Chapter 3 Review #7a p. 248)
Chapter 4 : Analyzing Quadratic Functions (4.6 Analyzing Quadratic Functions of the Form y = ax^2 + bx + c #8a p. 308)
on A quadratic equation is an equation that can be written in the form ax^2 + bx + c = 0, where a is not equal to zero.
The fastest way to solve a quadratic equation is through factoring, which involves inspection of the equation. If, upon inspection, the equation does not factor, you can try adding a value to both sides to complete the square. The quadratic formula is essentailly an already reduced version of competing the square. In my opinion the quadratic formula is consistently the most reliable to solve, but, when possible, I would like to factor first.
on Video Link:
https://www.dropbox.com/s/esjzb13lquedbo7/Radicals.mov?dl=0
on Q: You start eating a half a pizza, then eat the remaining half of the half and continue to eat the pizza this way. Will you ever finish? Explain your reasoning. How is this a sequence?
A: In theory, no, you will never finish the pizza. By continually cutting the remaining pizza in half each time you will become closer and closer to zero each time, however, you will never reach it. This is an infinite sequence with an infinite number of terms, because we are calculating how much of the pie remains. Were we calculating how much of the pie we had eaten, this would be a geometric series.
(In theory you would never finish the pizza, however, were we to actually try this I am sure it would eventually all be devoured)