SOLVING QUADRATIC EQUATIONS BY COMPLETING THE SQUARE WORKSHEET

Solve for exact values of x by completing the square:

Problem 1 :

x² + 4x + 1 = 0

Solution

Problem 2 :

x² - 4x + 1 = 0

Solution

Problem 3 :

x² + 6x + 2 = 0

Solution

Problem 4 :

x² - 14x + 46 = 0

Solution

Problem 5 :

x² = 4x + 3

Solution

Problem 6 :

x² + 6x + 7 = 0

Solution

Problem 7 :

x² = 2x + 6

Solution

Problem 8 :

x² + 6x = 2

Solution

Problem 9 :

x² + 10 = 8x

Solution

Problem 10 :

x² + 6x = -11

Solution

Solve for exact values of x by completing the square :

Problem 1 :

2x² + 4x + 1 = 0

Solution

Problem 2 :

2x² - 10x + 3 = 0

Solution

Problem 3 :

3x² + 12x + 5 = 0

Solution

Problem 4 :

3x² = 6x + 4

Solution

Problem 5 :

5x² - 15x + 2 = 0

Solution

Problem 6 :

4x² + 4x = 5

Solution