1. Ch 5 Pt 3 (5-7 & 5-8) Portfolio Page -- Algebra 2
Lesson 5-7: Solving Quadratic Equations
--By Completing the Square
Examples:
Steps to Solving Equations by Completing the Square
1) Get x terms on one side in descending order and the constant term on the other
2) Divide (if necessary) to get a coefficient of 1 on the squared term
3) Add the number needed to complete the square to both sides
4) Write one side as a binomial square, simplify the other
5) Take square root of each side
6) Solve for x.
Find vertex by completing the square:
Steps:
1) Separate x terms (descending order) and constant term; add and subtract the number needed to complete the square.
2) Use the first three terms to write a binomial square; combine other two terms
3) Write the ordered pair for the vertex.

2. 𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎 Lesson 5-8: Quadratic Formula
--Solve quadratic equations using Quadratic Formula --Use discriminant to determine # and type of solutions
Examples:
Quadratic formula
*equation must FIRST be in standard form ax2 + bx + c = 0
𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎
The Discriminant: Finding # and Type of Solutions:
The radicand b2 – 4ac is called the discriminant 
If b2 – 4ac > 0, the equation has _____ _________ solution(s).
If b2 – 4ac = 0, the equation has _____ _________ solution(s).
If b2 – 4ac < 0, the equation has _____ __________ solution(s).