1. 9.4, 9.5, 9.6 Review Solving Quadratic Equations
Quiz on Monday
Test on Wednesday
Delta Math + 1 WS (HW) due Wed
9.4, 9.5, 9.6 Review Solving Quadratic Equations
Happy Pi Day!!!
(3.14)
Check Notes TUESDAY!

2. 3 ways to solve Solve by Factoring (3 steps)
Solve by Completing the Square
(6 steps)
Solve by using the Quadratic Formula
Set equation to 0
Factor (Trinomial Xbox or Binomial GCF or Diff or Squares)
Solve

3. Discriminant (+) (-) Perfect Square Can’t solve Solve by Factoring
NOT Perfect Square
(-)
2 real,
Unequal,
Rational
roots
2 real,
Unequal,
Irrational
roots
1 real,
Equal,
double
root
No roots
(imaginary)
No solution
Can’t solve
Solve by Factoring
Solve by Completing the Square OR Quadratic Formula
Solve by Factoring

4. 1) 4x2 – 5x + 8 = 0 D = (-5)2 – 4(4)(8) D = 25 – 128 D = -103
No real roots (imaginary)
No work
NO SOLUTION

5. 2) x2 – 3x + 1 = 0 D = (-3)2 – 4(1)(1) D = 9 – 4 D = 5
2 Real, IRRATIONAL roots
Don’t complete the square because middle number is odd
Quadratic Formula

6. 3) x2 + 2x – 8 = 0 D = (2)2 – 4(1)(-8) D = 4 + 32 D = 36
factor!
D = (2)2 – 4(1)(-8)
D =
D = 36
(perfect square)
2 Real Rational Roots -8 4 -2 2
(x + 4)(x – 2) = 0
x + 4 = x – 2 = 0
x = x = 2
{-4, 2}

7. 4) 4x2 – 20x + 25 = 0
factor!
100
D = (-20)2 – 4(4)(25)
D = 400 – 400
D = 0
1 (double) root
(2x – 5)(2x – 5) = 0
2x – 5 = 0
2x = 5
x = 5/2
{ 5/2 } Double Root
-10
-10
-20 2x -5 2x
4x2
-10x -5
-10x 25

8. 5) x2 + 12x – 4 = 0 D = (12)2 – 4(1)(-4) D = 144 + 16 D = 160
Complete the square!
D = (12)2 – 4(1)(-4)
D =
D = 160
2 real, irrational roots
Complete the square because middle number is even
x2 + 12x = 4
x2 + 12x + _____ = 4 + _____
(x + 6)2 = 40
x + 6 = ± √40
x = { -6 ± √40 } 36 36

9. HW (Worksheet 9-4 Practice / 9-5 Practice)
Delta Math (100%)
Find 8 Notes (Checking on Tuesday – in class)
1) 9.4 Solve by Factoring
2) 9.4 (Day 2)
3) 9.5 Solve by completing the square
4) 9.5 (Day 2) WORKSHEET
5) 9.5 (Day 3) WORKSHEET
6) 9.6 Quadratic Formula
7) 9.6 (Day 2)
8) 9.4, 9.5, 9.6 REVIEW WORKSHEET

10. Match the problem with the method of solution
1) 4x2 – 5x + 8 = 0 2) x2 – 3x + 1 = 0 3) x2 + 2x – 8 = 0 4) 4x2 – 20x + 25 = 0 5) x2 + 12x – 4 = 0
Factoring
Perfect Square Trinomial
Completing the Square
Quadratic Formula
Can’t solve it

11. OLD Homework Page 571 #9-25 odd, 32,33 9-4 Worksheet 9-5 Worksheet
Page 579  #7-18 skip #13
Soil Erosion Worksheet
Discriminant Worksheet
Solve Discriminant Worksheet
Page 586  #7-21 odd, 44
Solve Quadratic Worksheet (today)
Chapter 9 Part 2 Review Worksheet Front (tomorrow)