Solving Quadratics by Square Roots

Solve for x

3x² - 27 = 0

• x = 4.9, -4.9

• x = 9, -9

• x = 3, -3

• No solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve for x

x² = 64

• x = 8, -8

• x = 32, -32

• x = 4, -4

• No real solution

Tags

CCSS.HSA.REI.B.4

Solve using square roots.
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve using square roots.
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Tags

CCSS.8.EE.A.2

Solve using square roots.

• ±81
• ±9
• ±3
• No real solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve using square roots.

• ±√9
• ±3
• ±1
• No real solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve by taking square roots:
5m² + 1 = 6

• m = 0
• m = 1 or -1
• m = √7
• m = 7/5 m = -7/5

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve:  $x^2+8=28$  

• No solution

•  $x=\pm4\sqrt{5}$  

•  $x=\pm6$  

•  $x=\pm2\sqrt{5}$  

Tags

CCSS.HSA.REI.B.4

Solve:  $7x^2=-21$  

•  $x=\pm\sqrt{3}$  

• No solution

•  $x=\pm2\sqrt{7}$  

•  $x=\pm\sqrt{14}$  

Tags

CCSS.HSA.REI.B.4

Solve:  $n^2-5=-4$  

•  $n=1$  and  $n=-1$  

•  $n=\pm3$  

•  $n=1$  

• No solution

Tags

CCSS.HSA.REI.B.4