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(1)

(1) 2x2+ 2x + 14 = 0 (2) 12x2− 5 2 x+

1 2 = 0

(3) − 4 3x

2− 20

3 x+ 7

3 = 0 (4)

1 4x

2+ 5

2 x − 11

4 = 0

(5) 32a2 =− 3

2a+ 3 (6)

x2 =−2x − 6

(7) 23x+ 5 = 13x2 (8) 163 x=− 4 3x

2− 4

(9) 1 2x

2+ 6x =

−10 (10) −4x

2 =

−20x+ 5

(11) 13x2+ 83x+ 163 = 0 (12) − 29

2 = 1 2x

2+ x

(2)

(1) 2x2+ 2x + 14 = 0

(2) 12x2− 5 2 x+

1 2 = 0

(3) − 4 3x

2− 20

3 x+ 7 3 = 0

(4) 1 4x

2+ 5

2 x − 11

4 = 0

### x = −11, 1

(5) 32a2 =− 3 2a+ 3

(6) −x2 =−2x − 6

### 2

(7) 23x+ 5 = 13x2

(8) 163 x=− 4 3x

2− 4

(9) 1 2x

2+ 6x =

−10

### x = −2, − 10

(10) −4x2 =−20x+ 5

### 2

(11) 13x2+ 83x+ 163 = 0

(12) − 29

2 = 1 2x

2+ x

### x = 1 ±√30

(3)

(1) 13x2− 10

3 x+ 16

3 = 0 (2)

2 3x

2− 14

3 x+ 4 = 0

(3) 1 2a

2− 6a+ 11

2 = 0 (4) −2x

2+ 10x + 13

2 = 0

(5) 23x2− 8x+ 40

3 = 0 (6)

3 2a

2− 21

2 a= 27

(7) 43x2+ 403 x − 443 = 0 (8) − 1 2 =

1 2x

2+ 3

2 x

(9) 9

2x − 7 = 1 2x

2 (10) 8

3x+ 14

3 = 1 3 x

2

(11) 53x+ 2 = 13x2 (12) 32x2+ 272 x+ 27 = 0

(4)

(1) 13x2− 10

3 x+ 16

3 = 0

(2) 23x2− 14

3 x+ 4 = 0

(3) 1 2a

2− 6a+ 11

2 = 0

### a = 11, 1

(4) −2x2+ 10x + 13

2 = 0

(5) 23x2− 8x+ 40

3 = 0

(6) 32a2− 21

2 a= 27

### a = 9, − 2

(7) 43x2+ 403 x − 443 = 0

(8) − 1 2 =

1 2x

2+ 3

2 x

(9) 9

2x − 7 = 1 2x

2

(10) 8 3x+

14 3 =

1 3 x

2

### x = 4 ±√30

(11) 53x+ 2 = 13x2

### x = 6, − 1

(12) 32x2+ 272 x+ 27 = 0

(5)

(1) 12a2− 7

2a − 9 = 0 (2)

4 3x

2+ 8

3 x+ 4 3 = 0

(3) 1 2x

2+ 7

2x − 4 = 0 (4)

1 2x

2− 3

2 x − 1 = 0

(5) 72a =− 1 2a

2 − 3 (6) −

2 3x −

1 12 =

4 3x

2

(7) 2x2− 2x =− 1

8 (8) 5x =

1 2x

2− 8

(9) 1 2x

2+ 3x = 8 (10) 1

3x

2+ 7

3 x= 10

3

(11) − 11

2 =x

2+ 4x (12)

− 35

2 =−2x

2− 4x

(6)

(1) 12a2− 7

2a − 9 = 0

### a = 9, − 2

(2) 43x2+ 83 x+ 43 = 0

(3) 1 2x

2+ 7

2x − 4 = 0

(4) 1 2x

2− 3

2 x − 1 = 0

(5) 72a =− 1 2a

2 − 3

(6) − 2 3x −

1 12 =

4 3x

2

### 4

(7) 2x2− 2x =− 1 8

(8) 5x =− 1 2x

2− 8

(9) 1 2x

2+ 3x = 8

(10) 1 3x

2+ 7

3 x= 10

3

(11) − 11

2 =x

2+ 4x

(12) − 35

2 =−2x

2− 4x

### 2

(7)

(1) 32a2+ 272 a+ 27 = 0 (2) 32x2− 21

2 x+ 9 = 0

(3) 3 4x

2− 21

4 x − 6 = 0 (4) 2x

2− 4x − 1 2 = 0

(5) 43x2+ 403 x+ 643 = 0 (6) 12x2 = 92x − 4

(7) − 27

4 a+ 15

2 = 3 4a

2 (8) 27

4 x= 3 4x

2− 15

(9) 1 3a

2 =

− 2 3a+

8

3 (10) −1

x2 = 6x + 3

(11) −6x=− 2 3x

2− 40

3 (12)

3 2x+

5 3 =

1 6x

2

(8)

(1) 32a2+ 272 a+ 27 = 0

(2) 32x2− 21

2 x+ 9 = 0

(3) 3 4x

2− 21

4 x − 6 = 0

### x = 8, − 1

(4) 2x2− 4x − 1 2 = 0

### 2

(5) 43x2+ 403 x+ 643 = 0

### x = −8, − 2

(6) 12x2 = 92x − 4

(7) − 27

4 a+ 15

2 = 3 4a

2

(8) 274 x=− 3 4x

2− 15

(9) 1 3a

2 =

− 2 3a+

8 3

### a = −4, 2

(10) −1x2 = 6x + 3

(11) −6x=− 2 3x

2− 40

3

### x = 4, 5

(12) 32x+ 53 = 16x2

### x = 10, − 1

(9)

(1) − 1 2x

2− 5x − 10 = 0 (2) −

1 2x

2+ 4x

− 7 = 0

(3) 1 2x

2−x − 43

2 = 0 (4) −1

x2− 10x − 12 = 0

(5) 32x2− 27

2 x=−30 (6) 2x

2+ 2x = 7

2

(7) −2x=− 4 5x

2− 23

20 (8)

1 2x

2− 4x=−2

(9) 10

3 a = 1 3a

2− 3 (10) −x2 =

2 5x −

2 25

(11) 14x2 =− 5 2x+

11

4 (12)

3 2a

2− 9

2a= 15

(10)

(1) − 1 2x

2− 5x − 10 = 0

(2) − 1 2x

2+ 4x

− 7 = 0

(3) 1 2x

2−x − 43 2 = 0

### x = 1 ± 2√11

(4) −1x2− 10x − 12 = 0

(5) 32x2− 27

2 x=−30

(6) 2x2+ 2x = 72

(7) −2x=− 4 5x

2− 23 20

(8) 12x2− 4x=−2

(9) 10

3 a = 1 3a

2− 3

### a = −9, − 1

(10) −x2 =− 2 5x −

2 25

### 5

(11) 14x2 =− 5 2x+

11 4

(12) 32a2− 9

2a= 15

### a = 5, − 2

(11)

(1) 13x2− 3x+ 6 = 0 (2) −x2− 5x − 92 = 0

(3) 3 4x

2− 2x+ 11

12 = 0 (4)

1 2x

2+ x + 13 = 0

(5) 34x2− 15

4 x= 9

2 (6)

1 2x

2+ 5

2 x=−2

(7) 13x2 = 3x− 8

3 (8) −12x=

3 2x

2+ 27

2

(9) 3 4a

2 = 33

4 a+ 9 (10)

3 2x

2+ 3x =

−1

(11) 13x2+ 3x + 6 = 0 (12) 1 2x+

3 4 =

1 4 x

2

(12)

(1) 13x2− 3x+ 6 = 0

### x = 6, 3

(2) −x2− 5x − 92 = 0

(3) 3 4x

2− 2x+ 11 12 = 0

(4) − 1 2x

2+ x + 13 = 0

(5) 34x2− 15

4 x= 9 2

### x = 6, − 1

(6) 12x2+ 52 x=−2

### x = −1, − 4

(7) 13x2 = 3x− 8 3

(8) −12x=− 3 2x

2+ 27

2

(9) 3 4a

2 = 33

4 a+ 9

(10) 3 2x

2+ 3x =

−1

### 3

(11) 13x2+ 3x + 6 = 0

(12) − 1 2x+

3 4 =

1 4 x

2

### x = 1, − 3

(13)

(1) − 1 2x

2+ 1

2x+ 7

2 = 0 (2) 2x

2+ x

− 5 8 = 0

(3) 1 2x

2+ 2x + 3

2 = 0 (4)

4 3x

2− 4 3 x −

1 3 = 0

(5) 43a2 =− 4

3a+ 16 (6)

17 2 =

1 2x

2x

(7) 12a2+ a = 0 (8) 23x − 13 =− 1 3 x

2

(9) 1 2a

2 =

− 9

2a − 9 (10) x =

1 3x

2+ 3

2

(11) −1x2 = 8x + 13 (12) 2

3x

2 =

− 14

3 x+ 16

3

(14)

(1) − 1 2x

2+ 1

2x+ 7 2 = 0

### 2

(2) 2x2+ x− 5 8 = 0

(3) 1 2x

2+ 2x + 3

2 = 0

(4) 4 3x

2− 4 3 x −

1 3 = 0

(5) 43a2 =− 4

3a+ 16

(6) − 17

2 = 1 2x

2x

(7) 12a2+ a = 0

### a = 0, − 2

(8) 23x − 13 =− 1 3 x

2

(9) 1 2a

2 =

− 9 2a − 9

(10) x =− 1 3x

2+ 3

2

### 2

(11) −1x2 = 8x + 13

(12) 23x2 =− 14

3 x+ 16

3

### x = −8, 1

(15)

(1) 16x2+ 56x − 1 = 0 (2) 32x2+ 272 x − 15 = 0

(3) − 1 2x

2−x − 1

4 = 0 (4)

3 4x

2+ 33

4 x − 9 = 0

(5) 12x =− 3 2x

2− 21

2 (6)

16

3 x+ 6 = 2 3x

2

(7) 6x− 40

3 = 2 3x

2 (8)

x2 =− 8 5x+

14 25

(9) 19

8 =−2x

2 + 5x (10) 1

3x

2+ 13

3 x+ 4 = 0

(11) 53x = 16x2 (12) −1 = −

1 2x

2+ x

(16)

(1) 16x2+ 56x − 1 = 0

### x = −6, 1

(2) 32x2+ 272 x − 15 = 0

(3) − 1 2x

2−x − 1 4 = 0

(4) 3 4x

2+ 33

4 x − 9 = 0

(5) 12x =− 3 2x

2− 21

2

### x = −7, − 1

(6) 163 x+ 6 = 23x2

(7) 6x− 40

3 = 2 3x

2

(8) −x2 =− 8 5x+

14 25

(9) 19

8 =−2x

2 + 5x

(10) 1 3x

2+ 13

3 x+ 4 = 0

(11) 53x = 16x2

(12) −1 = − 1 2x

2+ x

### 2

(17)

(1) 34x2+ 6x− 27

4 = 0 (2)

1 6a

2− 3 2a+

4 3 = 0

(3) 1 2x

2+ 5x

− 11

2 = 0 (4)

1 3x

2− 8

3 x+ 5 = 0

(5) 12x− 21

2 = 3 2x

2 (6)

−6a= 2 3a

2

(7) 12x2 = 52x (8) −

2 3x+

7 3 =

1 3 x

2

(9) −9x=− 3 4x

2 (10) 1

6x

2 =

−2x − 11 6

(11) −2x=− 1 2x

2+ 6 (12)

− 11

3 x= 1 3x

2+ 4

(18)

(1) 34x2+ 6x− 27

4 = 0

(2) 16a2− 3 2a+

4 3 = 0

(3) 1 2x

2+ 5x

− 11

2 = 0

(4) 1 3x

2− 8

3 x+ 5 = 0

(5) 12x− 21

2 = 3 2x

2

(6) −6a= 2 3a

2

(7) 12x2 = 52x

(8) − 2 3x+

7 3 =

1 3 x

2

(9) −9x=− 3 4x

2

(10) 1 6x

2 =

−2x − 11 6

(11) −2x=− 1 2x

2+ 6

(12) − 11

3 x= 1 3x

2+ 4

### x = 12, − 1

(19)

(1) − 3 2x

2− 5x − 236 = 0 (2) 16x2+ x− 5 6 = 0

(3) 2 3x

2− 26

3 x+ 8 = 0 (4)

1 3a

2− 11

3 a+ 10

3 = 0

(5) 103 a − 3 = 13a2 (6) 4x = 45x2+ 3

(7) − 21

4 x = 3 4x

2+ 27

2 (8)

1 6 =

3 2x

2− 2x

(9) 1 2a

2− 3

2a = 5 (10) −1

x2 =−2x − 21

(11) − 1 6x

2 = 4

3x (12) a =

1 2a

2+ 4

(20)

(1) − 3 2x

2− 5x − 236 = 0

### 3

(2) 16x2+ x− 5 6 = 0

(3) 2 3x

2− 26

3 x+ 8 = 0

(4) 1 3a

2− 11

3 a+ 10

3 = 0

### a = 10, 1

(5) 103 a − 3 = 13a2

(6) 4x = 45x2+ 3

(7) − 21

4 x = 3 4x

2+ 27

2

(8) − 1 6 =

3 2x

2− 2x

(9) 1 2a

2− 3 2a = 5

### a = −2, 5

(10) −1x2 =−2x − 21

(11) − 1 6x

2 = 4

3x

(12) a =− 1 2a

2+ 4

### a = −4, 2

③ ②で学習した項目を実際のコミュニケーション場面で運用できるようにする練習応用練 習･運用練習｣

７月 １０ 日〜７月 １７ 日 教育学部芸術棟音楽演習室・.

SHM練習・ユース利用 0.05 利用料 ：3万円/日 ※サブアリーナ. 利用回数：325日/年 企業貸出収入 0.28

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□ ゼミに関することですが、ゼ ミシンポの説明ではプレゼ ンの練習を主にするとのこ とで、教授もプレゼンの練習

「ＰＴＡ聖書を学ぶ会」の通常例会の出席者数の平均は 2011 年度は 43 名だったのに対して、2012 年度は 61 名となり約 1.5

「ＰＴＡ聖書を学ぶ会」の通常例会の出席者数の平均は 2011 年度は 43 名、2012 年度は 61 名、2013 年度は 79 名、そして 2014 年度は 84

2011

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