SOLVING QUADRATIC EQUATIONS BY TAKING SQUARE ROOTS WORKSHEET

Solve the quadratic equation by taking square roots :

Problem 1 :

x² + 8x + 16 = 9

Solution

Problem 2 :

x² - 6x + 9 = 25

Solution

Problem 3 :

x² - 12x + 36 = 49

Solution

Problem 4 :

2x² - 12x + 18 = 32

Solution

Problem 5 :

4x² - 4x + 1 = 36

Solution

Answer Key

1)  x = -1, x = -7

2)  x = 8, x = -2

3)  x = 13, x = -1

4)  x = 7, x = -1

5)  x = 7/2 and x = -5/2

Solve the quadratic equation by taking square roots :

Problem 1 :

5x² - 20x + 20 = 35

Solution

Problem 2 :

x² - 2/3x + 1/9 = 1

Solution

Problem 3 :

x² + 3/2x + 9/16 = 3

Solution

Problem 4 :

9x² + 12x + 4 = 5

Solution

Answer Key

1)  x = 2 + √7 and x = 2 - √7

2) x = 4/3          x = -2/3

3)  x = ± √3 - 3/4

4)  x = √5/3 - 2/3 or x = -√5/3 - 2/3

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