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!

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

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

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

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

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

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

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 = 144 + 16 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

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

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

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)