SOLVING EQUATIONS BY TAKING SQUARE ROOTS WORKSHEET

Solve the equation.

Problem 1 :

x² = 289

Solution

Problem 2 :

x² - 169 = 0

Solution

Problem 3 :

2x² - 512 = 0

Solution

Problem 4 :

3x² - 150 = 282

Solution

Problem 5 :

1/2x² - 8 = 16

Solution

Problem 6 :

2/3x² - 4 = 12

Solution

Problem 7 :

2x² + 5 = 5x² - 37

Solution

Problem 8 :

4(x² - 8) = 84

Solution

Problem 9 :

3(x² + 2) = 18

Solution

Problem 10 :

2(x + 2)² = 72

Solution

Problem 11 :

3(x - 3)² + 2 = 26

Solution

Problem 12 :

(3x + 2)² - 49 = 0

Solution

Answer Key

1)  x = ±17

2)  x = ±13

3) x = ±16

4) x = ±12

5) x = ±4√3

6)  x = ±2√6

7)  x = ±√14

8)  x = ±√29

9)  x = ±2√2

10)  x = 4 and x = -8

11)  x = 3 + 2√2 and x = 3 - 2√2

12)  x = 10 and x = -4

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