Test 6B Study Guide

Solve by finding square roots and simplify completely:
 $x^2-16=0$ 

•  $x=\pm16$  

•  $x=4$  

•  $x=\pm4$  

• No real solutions

Solve by finding square roots and simplify completely:
 $x^2+20=0$ 

•  $x=-20$  

•  $x=\pm2\sqrt{5}$  

•  $x=-2\sqrt{5}$  

• No real solutions

Solve by factoring:
 $x^2+10x+24=0$ 

•  $x=6\ or\ x=4$  

•  $x=\pm\sqrt{14}$  

•  $x=-6\ or\ x=-4$  

• No real solutions

Solve using the Quadratic Formula:
 $5x^2+3x-1=0$ 

•  $x=\frac{3\pm\sqrt{29}}{5}$  

•  $x=\frac{8}{5}\ or\ x=-\frac{2}{5}$  

•  $x=\frac{-3\pm\sqrt{29}}{10}$  

• No real solutions

Mathematical Equivalence

ON

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

6x² + 17x + 12 = 0

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

Solve by the Square Root method: x² = 16

• ± 4

• ± 8

• 4

• 8