Review of Solving Quadratic Equations

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

If the discriminant equals 0, then the quadratic has:

• 1 Real Rational Solution

• 2 Real Rational Solutions

• 2 Real Irrational Solutions

• No Real Solution

What is the discriminant? State the number and type of solutions for this quadratic equation.

4x² + 6x - 4 = 0

• -28, No Solutions

• 28, 2 Real Irrational Solutions

• 100, 2 Real Rational Solutions

• 100, 2 Real Irrational Solutions

Solve the equation by the factoring method: 6x² - 9x = 0

• x = 0 & x = 3

• x = 0 & x = -3/2

• x = 0 & x = 3/2

Solve the equation with a method of your choice:

x² - 2x - 24 = 0

• x = 6 and x = 4

• x = -6 and and x = 4

• x = 6 and x = -4

Solve by completing the square.  $x^2+10x\ -\ 4=0$  

•  $x=8,-2$  

•  $x=6,2$  

•  $x=2,-12$  

•  $x=-5\pm\sqrt{29}$  

Solve by the Square Root Method: $x^2-81\ =\ -1$   

•  $\pm4\sqrt{5}$   $\$  

•  $\left\{\pm2\sqrt{5}\right\}$  

•  $\left\{\pm4\sqrt{15}\right\}$  

• No solution

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Solve by any method.

• A

• B

• C

• D

What is the best method to solve: x^2 - 3x - 4 = 0?

• Square Roots

• Factoring

• Completing the Square

• Quadratic Formula