1. PreCalculus Section 1.6 Solve quadratic equations by: a. Factoring b. Completing the square c. Quadratic formula d. Programmed calculator Any equation that can be written in the form ax 2 + bx + c = 0 is a quadratic equation. It has two solutions. Solve by factoring 2x 2 + 7x + 3 = 0 Solve by factoring 3x 2 - 2x – 8 = 0

2. Solve by factoring (3x – 2)(x + 4) = -11

3. Solve by completing the square 2x 2 - 12x - 7 = 0 Procedure 1.Make the leading coefficient one. 2.Isolate the constant. 3. Add the square of ½ the linear coefficient to both sides. 4.Factor the quadratic. 5.Square root and solve.

4. Solve by completing the square (2x – 1) 2 = -4

5. The solutions to a quadratic equation ax 2 + bx + c = 0 can be found by using the quadratic formula. x = Solve by using the quadratic formula. 2x 2 + 7 = 4x

6. Solve by the quadratic formula. y 2 – 8y = 2

7. Solve by using a programmed calculator = x + 1r 2 + 1 = r + 5 r + 2 3 r+2

8. assignment Page 35 Problems 1 – 16, 17 -29 not ÷ 3