Warm–up #10

Solve by Factoring 1 111

Homework Log Thurs 10/15 Lesson 2 – 5 Learning Objective: To solve quadratic equations by quadratic formula Hw: #211 Pg.135 #1 – 23 odd

Homework Log Fri 10/16 Lesson 2 – 5 Learning Objective: To use discriminant to determine types of roots Hw: #212 Pg.136 #25 – 51 odd WS # 11 – 14

10/15/15 Lesson 2 – 5 Quadratic Formula Day 1 Advanced Math/Trig

Learning Objective To solve quadratic equations by quadratic formula

Quadratic Formula Xavier is a negative boy who couldn’t decide (yes or no) whether to go to a radical party. It turns out that this boy is a total square because he missed out on 4 awesome chicks. And the party was all over at 2 AM.

Solve by Quadratic Formula Set = 0 a = 9 b = 7 c = –1

Solve by Quadratic Formula Distribute & Set = 0 a = 1 b = 2 c = –168 {12, –14}

Solve by Quadratic Formula

10/16/15 Lesson 2 – 5 Discriminant Day 2 Advanced Math/Trig

Discriminant

Discriminant = Real Roots

Discriminant = 400 – Real Double Root

Discriminant = 16 – 52 2 Imaginary Roots

Discriminant 2 real equal roots, so discrim = 0 a = 6 b = k c = 5

Sum-Product Rule Given 2 roots, we can write the quadratic equation: x 2 – (sum)x + product = 0 5. Determine a monic quadratic eq’n if the sum of its roots is –2 and the product of its roots is –8. x 2 – (sum)x + product = 0 x 2 – (–2)(x) + –8 = 0 x 2 + 2x – 8 = 0 leading coeff = 1

Sum – Product Rule x 2 – (sum)x + product = 0 sum: 0 + –3 = –3 product: (0)(–3) = 0 x 2 – (–3)(x) + 0 = 0 x 2 + 3x = 0 equation  better have = sign 6. Find a monic quadratic eq’n whose roots are 0 & –3

Sum – Product Rule x 2 – (sum)x + product = 0 (10)( ) (10)

Sum – Product Rule x 2 – (sum)x + product = 0 (3)( ) (3)

Ticket Out the Door

Homework #211 Pg.135 #1 – 23 odd

Homework #212 Pg.136 #25 – 51 odd WS # 11 – 14