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9-60 Holt McDougal Algebra 1

Completing the Square

Complete the square to form a perfect square trinomial.

1. x2 4x 2. x2 16x 3. x2 7x

Solve each equation by completing the square.

4. x2 6x 8 5. x2 4x 12 6. x2 2x 15

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7. x2 8x 13 0 8. x2 6x 34 0 9. x2 2x 35 0

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10. A rectangular pool has an area of 880 ft2. The length is 10 feet

longer than the width. Find the dimensions of the pool. Solve

by completing the square. Round answers to the nearest tenth

of a foot.

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Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.

A34 Holt McDougal Algebra 1

11. 10 12. 8

13. 7.07 14. 3.46

15. 5.48 16. 6.5 cm

17. 14.6 in.

Challenge

1. 3 and 4 2. a. 12.25

b. 3.5 12 c. 3.5

d. 3.428

e. 3.464

3. up to 3 places, depending on how the

numbers were rounded

4. 3.6 5. 4.5

6. No; the square root will be an irrational

number which cannot be written as a

terminating decimal.

Problem Solving

1. 12 inches 2. 20 inches

3. 11.5 inches 4. 14.1 inches

5. B 6. G

7. B 8. G

Reading Strategies

1. x 5

2.

3. zero

a. The parabola does not cross the

x-axis.

b. There is no real number whose square

is negative.

LESSON 9–8

Practice A

1. 9 2. 36

3. 16 4. 9; 2, 4

5. 9; 1, 5 6. 1; 4, 6

7. 25; 2, 8 8. x2 4x 5; 4;

5, 1

9. x2 4x 12 0; 4; 2, 6

10. a. width w; length w 6

b. w2 6w 91

c. 9

d. w 7, l 13

11. a. w2 4w 45

b. w 5, l 9

Practice B

1. 4 2. 64

3. 49

4 4. 2, 4

5. 6, 2 6. 3, 5

7. 4 3 , 4 3 8. no real solutions

9. 5, 7 10. no real solutions

11. 1

4, 2 12.

1

2, 4

13. width 25.1 feet; length 35.1 feet

14. width 13.2 cm; length 30.4 cm

Practice C

1. x2 50x 625 2. x2 34x 289

3. x2 80x 1600 4. 8, 10

5. 2, 9 6. 4, 7

7. no real solutions

8. 4 5 , 4 5

9. 1 7 , 1 7 10. 7, 5

11. 1

2, 4 12.

2

3, 6

13. width 11.7 ft, length 37.1 ft

14. 18.1 seconds