Solving Quadratics by Taking a Square Root

 $x^2=\ 5$  Simplify:

•  $\sqrt{5}$  

• - $\sqrt{5}$  

•  $\pm\sqrt{5}$  

•  $\pm$  5

• {6.78,-6.78}

• {8,-8}

• {7,-7}

• No Solution

Tags

CCSS.8.EE.A.2

7x² + 1 = 8

• ± 1
• ± 7
• ± √7
• ± 8

Tags

CCSS.8.EE.A.2

(x + 1) ² = 25

• ± 5
• 4  or  -6
• -4  or  6
• ± 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve by taking square roots:
5b² - 4 = 41

• b = 9, b = -9
• b = 3, b = -3
• b = 8, b = -8
• no solution

Tags

CCSS.HSA-REI.B.4B

4(x+9)²=24

• {-9+√6,-9-√6}
• {3,-3}
• {3}
• so solution

Tags

CCSS.HSA-REI.B.4B

3x² - 1 = 14

• 5
• -√5
• -√5, √5
• √5

Tags

CCSS.8.EE.A.2

Solve  $36x^2+169\ =\ 0$  .

•  $x=\pm\frac{6}{13}i$  

•  $x=\pm\frac{6}{13}$  

•  $x=\pm\frac{13}{6}i$  

•  $x=\pm\frac{13}{6}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by taking the square root: -9k² = 225

• 4i

• 4, -4

• 25i, -25i

• -5i, 5i

Solve by taking square roots:

2b² - 4 = -166

• b = 9i, b = -9i

• b = 3, b = -3

• b = 9, b = -9

• b = 3i, b = -3i