9.3 Solving Quadratics by Square Roots

Solve for x

x² = 64

• x = 8, -8

• x = 32, -32

• x = 4, -4

• No real solution

Solve for x

3x² - 27 = 0

• x = 4.9, -4.9

• x = 9, -9

• x = 3, -3

• No solution

Solve using square roots.
k² - 6 = 43

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

Solve using square roots.
5b² - 4 = 41

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

Solve using square roots.
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Solve using square roots.

• ±81
• ±9
• ±3
• No real solution

Solve using square roots.

• ±√9
• ±3
• ±1
• No real solution

Solve:  $7x^2=-21$  

•  $x=\pm\sqrt{3}$  

• No solution

•  $x=\pm2\sqrt{7}$  

•  $x=\pm\sqrt{14}$