Solving Quadratic Equations by Completing the Square Worksheet

Find the roots of the quadratic equation by completing the square. Check solutions afterward:

Example 1

$ x^2-4x-21=0$

Example 2

$ x^2-8x-20=0$

Example 3

$ x^2+16x+15=0$

Example 4

$ x^2+18x+41=0$

Example 5

$ x^2-6x+9=0$

Example 6

$ x^2-10x+25=0$

Example 7

$ 8x^2+16x-5=0$

Example 8

$ \frac{x^2}{3}+8x+11=0$

Example 9

$ x^2-10x=2$

Example 10

$ x^2+2\cdot \frac{7}{2}x-20=0$

Example 11

$ x^2+3x-4=0$

Example 12

$ x^2+\frac{3}{4}x-1=0$

Example 13

$ \frac{x^2}{6}-\frac{9}{3}x+3=0$

Example 14

$ 4x^2-4x+7=0$

Example 15

$ x^2-22x+122=0$

Example 16

$ x^2+4x+13=0$

Example 17

$ 0.5x^2-0.3x-2=0$

Example 18

$ x-1=\frac{1}{x}+6$

Example 19

$ x(x-40)=9$

Example 20

$ \frac{1}{x-2}=\frac{x}{6}$

Example 21

$ 12x^2-5x+4=0$

Example 22

$ 3x^2+5x+17=0$