Solving a Quadratic with Square Roots

Choose the best method to solve this quadratic:

​ (a)  

2(x + 2)² - 5 = 8

• Square Roots

• Quadratic Formula

• ZPP

How many solutions are there?

• 0

• 1

• 2

• Cannot be determined

Solve for x     x² - 4 = 76

• x = 4 , -4

• x = 4√5    ,  -4√5

• x = 80   ,  x = -80

• x = 5√4    or    -5√4

Pick which equation I can use square roots to solve:

• 3x² + 2x + 1 = 0

• 3x² -27 = 0

• 3x² + 2x = 1

• 4x + 10 = 0

x² + 4 = 68

• ± 8

• ± √8

• 8

• ± 64

7x² + 1 = 8

• ± 1

• ± 7

• ± √7

• ± 8

(x - 2) ² = 9

• ± 3

• 5  or  -1

• -5  or  1

• ± 9

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

• m = 0

• m = 1 or -1

• m = √7

• m = 7/5 m = -7/5

Solve

2y² - 5 = 93

• y = 7

• y = ±7

• y = 24.5

• y = ±24.5

1/3x² = 48

• +16, -16

• +4, -4

• +12, -12

• no solution