Solving Quadratic Equations by Square Roots and Quadratic Formula

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

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

Mathematical Equivalence

ON

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

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

• Subtract 21 from both sides of the equation

• Add 25 to both sides of the equation

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

• Take the square root of both sides of the equation

• Subtract 5 from both sides of the equation

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots