AOPS Algebra 1 Online Course, Lesson22 , 03/29/2020

Today, students continued to work on “completing the square” and solving the quadratic equations by using “Completing the square”. Also, quadratic formula was also introduced in the class. As I mentioned, the formula was derived from solving the quadratic equation ax^2+bx+c=0, by using the “completing the square” method. In other words, the formula is the final solutions applicable for all  quadratic equations. Except for request, people directly use the formula, instead of using completing the square. In addition, using formula to solve equation to find the roots could provide another way to factorize a quadratic equation. In the formula approach, the new term “discriminant”=b^2-4ac is used to evaluate any quadratic equation with two real roots, double root, or two non-real roots, as it is positive, zero, or negative, respectively.
This is an topic with so much fun during the studying. They are two more methods to solve quadratic equations along with the first method students learned before, factorization. There is one more method to be introduced in next class time.
Here is the homework covering today’s contents.
P.384, 13.2.1, 13.2.2(a)

P.391, 13.3.1, 13.3.2, 13.3.4, 13.3.5

P.397, 13.4.1, 13.4.4

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