Download 8-8 Practice A Completing the Square

8-8 Practice A
Completing the Square
Complete the square to form a perfect square trinomial.
1. x2  6x 
2. x2  12x 
3. x2  8x 
Solve each equation by completing the square.
4. x2  6x  8
5. x2  6x  5
2
2
 b
Find   : ___________________________
 2
 b
Find   : ___________________________
 2
Solutions: ___________________________
Solutions: ___________________________
6. x2  2x  24  0
7. x2  10x  16  0
2
2
 b
Find   : ___________________________
 2
 b
Find   : ___________________________
 2
Solutions: ___________________________
Solutions: ___________________________
8. 2x2  8x  10
9. 3x2  12x  36  0
Divide by a: ___________________________
2
Divide by a: ___________________________
2
 b
Find   : ___________________________
 2
 b
Find   : ___________________________
 2
Solutions: ___________________________
Solutions: ___________________________
10. A rectangular patio has an area of 91 ft2. The length is 6 feet
longer than the width. Find the dimensions of the patio area.
Solve by completing the square.
a. Find the width and the length in terms of w.
_____________________________________
b. Write an equation for the total area.
_____________________________________
2
 b
c. Find   .
 2
_____________________________________
d. Find the dimensions.
_____________________________________
11. A sand box has an area of 45 ft2. The length is
4 feet longer than the width. Find the dimensions
of the sand box. Solve by completing the square.
a. Write an equation for the total area.
_____________________________________
b. Find the dimensions.
_____________________________________
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