Solving Quadratic Equations by Stated Methods

Solution Preview

The solution file is attached.

Project 8
Quadratic Equations

1. Solve by factoring:
x2 - 13x = -12

x^2 - 13x + 12 = 0
x^2 - x - 12x + 12 = 0
x(x - 1) - 12(x - 1) = 0
(x - 1)(x - 12) = 0
x = {1, 12}

2. Solve using the square root property:
2x2 - 35 = 15

2x^2 = 15 + 35 = 50
x^2 = 25
x = Ö25 = {-5, 5}

3. Solve using the square root property:
(x + 6)2 = 4

x + 6 = Ö4 = ± 2
x = -6 ± 2
x = {-8, -4}

4. Solve by completing the square:
x2 + 6x + 1 = ...