Конечная математика Примеры

$v (\frac{{(28 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14})$

Этап 1

Упростим числитель.

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Этап 1.1

Вычтем $27.2$ из $28$ .

$v \frac{{0.8}^{2} + {(31 - 27.2)}^{2} + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.2

Возведем $0.8$ в степень $2$ .

$v \frac{0.64 + {(31 - 27.2)}^{2} + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.3

Вычтем $27.2$ из $31$ .

$v \frac{0.64 + {3.8}^{2} + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.4

Возведем $3.8$ в степень $2$ .

$v \frac{0.64 + 14.44 + {(24 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.5

Вычтем $27.2$ из $24$ .

$v \frac{0.64 + 14.44 + {(- 3.2)}^{2} + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.6

Возведем $- 3.2$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + {(17 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.7

Вычтем $27.2$ из $17$ .

$v \frac{0.64 + 14.44 + 10.24 + {(- 10.2)}^{2} + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.8

Возведем $- 10.2$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + {(38 - 27.2)}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.9

Вычтем $27.2$ из $38$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + {10.8}^{2} + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.10

Возведем $10.8$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + {(23 - 27.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.11

Вычтем $27.2$ из $23$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + {(- 4.2)}^{2} + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.12

Возведем $- 4.2$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + {(12 - 27.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.13

Вычтем $27.2$ из $12$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + {(- 15.2)}^{2} + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.14

Возведем $- 15.2$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + {(13 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.15

Вычтем $27.2$ из $13$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + {(- 14.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.16

Возведем $- 14.2$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.17

Вычтем $27.2$ из $31$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + {3.8}^{2} + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.18

Возведем $3.8$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + {(38 - 27.2)}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.19

Вычтем $27.2$ из $38$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + {10.8}^{2} + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.20

Возведем $10.8$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + {(17 - 27.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.21

Вычтем $27.2$ из $17$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + {(- 10.2)}^{2} + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.22

Возведем $- 10.2$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + {(31 - 27.2)}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.23

Вычтем $27.2$ из $31$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + {3.8}^{2} + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.24

Возведем $3.8$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + {(38 - 27.2)}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.25

Вычтем $27.2$ из $38$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + {10.8}^{2} + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.26

Возведем $10.8$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + {(27 - 27.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.27

Вычтем $27.2$ из $27$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + {(- 0.2)}^{2} + {(40 - 27.2)}^{2}}{14}$

Этап 1.28

Возведем $- 0.2$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + {(40 - 27.2)}^{2}}{14}$

Этап 1.29

Вычтем $27.2$ из $40$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + {12.8}^{2}}{14}$

Этап 1.30

Возведем $12.8$ в степень $2$ .

$v \frac{0.64 + 14.44 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.31

Добавим $0.64$ и $14.44$ .

$v \frac{15.08 + 10.24 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.32

Добавим $15.08$ и $10.24$ .

$v \frac{25.32 + 104.04 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.33

Добавим $25.32$ и $104.04$ .

$v \frac{129.36 + 116.64 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.34

Добавим $129.36$ и $116.64$ .

$v \frac{246 + 17.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.35

Добавим $246$ и $17.64$ .

$v \frac{263.64 + 231.04 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.36

Добавим $263.64$ и $231.04$ .

$v \frac{494.68 + 201.64 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.37

Добавим $494.68$ и $201.64$ .

$v \frac{696.32 + 14.44 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.38

Добавим $696.32$ и $14.44$ .

$v \frac{710.76 + 116.64 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.39

Добавим $710.76$ и $116.64$ .

$v \frac{827.4 + 104.04 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.40

Добавим $827.4$ и $104.04$ .

$v \frac{931.44 + 14.44 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.41

Добавим $931.44$ и $14.44$ .

$v \frac{945.88 + 116.64 + 0.04 + 163.84}{14}$

Этап 1.42

Добавим $945.88$ и $116.64$ .

$v \frac{1062.52 + 0.04 + 163.84}{14}$

Этап 1.43

Добавим $1062.52$ и $0.04$ .

$v \frac{1062.56 + 163.84}{14}$

Этап 1.44

Добавим $1062.56$ и $163.84$ .

$v \frac{1226.4}{14}$

Этап 2

Упростим выражение.

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Этап 2.1

Разделим $1226.4$ на $14$ .

$v \cdot 87.6$

Этап 2.2

Перенесем $87.6$ влево от $v$ .

$87.6 v$