Solve Quadratic Equations by Factoring and Completing the Square

How many solutions are there?

• 0

• 1

• 2

• Cannot be determined

Factor and Solve

6x² + 17x + 12 = 0

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1

• (x + 1)(x - 3); x=-1, x=3

• (x + 2)(x - 1); x=-2, x=1

• (x - 1)(x + 3); x=1, x=-3

Factor and Solve

2x² - 3x - 2 = 0

• x = 1, x = -1

• x = -1/2, x = 2

• x = 1/2, x = 2

• x = 1/2, x = 1

Which method do you feel is the best way to solve the following?

• Factor

• Isolation/Solve with Square Roots

• Complete the Square

• Quadratic Formula

What are the steps to solving this by completing the square?

• Take the square root of both sides of the equation

• Rewrite the left hand side as a (binomial)²

• Subtract 5 from both sides of the equation

• Subtract 21 from both sides of the equation

• Add 25 to both sides of the equation

Solve the equation: 
5x² - 35x + 60 = 0

• x = 3,  -4

• x = -3,  4

• x = 3,  4

• x = -3,  -4

How many solutions are there?

• 0

• 1

• 2

• 3

The solutions of the quadratic equation
x²-5x+6=0 are

• x=1 or x=-6

• x=3 or x=2

• x=-3 or x= 2

• x=-1 or x=6