Solving Quadratics

Solve using the zero product property

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 zero product property

x² + 2x - 24 = 0

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

Solve using square roots

2x² - 3x - 2 = 0

• x = 1, x = -1

• x = -1/2, x = 2

• x = 1/2, x = 2

• x = 1/2, x = 1

Solve using square roots:

x² - 49 = 0

• x = -7, x = 7

• x = -7

• x = 7

• x = -7, x = 1

Solve using square roots

• √3

• ±√3

• -3

• No real solution

Solve using square roots

4b² - 16 = 0.

• 4 and -7

• 7 and -4

• 2 and -2

Solve by taking square roots:
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve by completing the square.
 $x^2-4x-20=0$  

•  $x=\left\{-2\pm6\sqrt{2}\right\}$  

•  $x=\left\{2\pm6\sqrt{2}\right\}$  

•  $x=\left\{2\pm2\sqrt{6}\right\}$  

•  $x=\left\{-2\pm2\sqrt{6}\right\}$  

Solve by completing the square.
 $x^2-6x-59=0$  

•  $x=\left\{3\pm2\sqrt{17}\right\}$  

•  $x=\left\{3\pm17\sqrt{2}\right\}$  

•  $x=\left\{-3\pm2\sqrt{17}\right\}$  

•  $x=\left\{-3\pm17\sqrt{2}\right\}$