Solving Quadratic Equations using Various Methods

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Solve by using the best method (factoring, completing the square, or taking square roots):

x² + 4x= 12

• x = 2 and -2

• x = -6 and 2

• x = 6 and -2

• x = 1 and -1

Solve by using the best method (factoring, completing the square, or taking square roots):

3x² - 36x = 39

• 6 or -6

• 13 or -1

• 1 or -13

• 36 or -39

Solve by Isolation/Square Roots:  $2\left(x-3\right)^2+10=4$  

•  $x=-5\pm7i$  

•  $x=3\pm2i$  

•  $x=4\pm2i$  

•  $x=4\pm i\sqrt{5}$  

What is the most appropriate method for solving the following quadratic?  $5\left(x+3\right)^2+9=19$  

• Factoring

• Isolation (Square Roots)

• Completing the Square

• Quadratic Formula

 $3x^2-2x-5=0$  Use Quadratic Formula to solve:

•  $x=\frac{1\pm\sqrt{265}}{12}$  

•  $x=\frac{5}{3}\ and\ x=-1$  

•  $x=\frac{2\pm8}{6}$  

•  $\left(3x-5\right)\left(x+1\right)$  

Solve the following Quadratic:  $2x^2+4x-7=x^2-2x$  

• x = 1 and x = -7

• x = -7 and x = -1

• x = -5 and x = 2

• x = -2 and x = 5

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Decide on the best method:
x² - 3x - 54 = 0

• Square Root Method
• Factor Method
• Complete the Square
• Quadratic Formula