Matemática discreta Ejemplos

$\frac{{(1 - 8.7)}^{2} + {(9 - 8.7)}^{2} + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1

Simplifica el numerador.

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Paso 1.1

Resta $8.7$ de $1$ .

$\frac{{(- 7.7)}^{2} + {(9 - 8.7)}^{2} + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.2

Eleva $- 7.7$ a la potencia de $2$ .

$\frac{59.29 + {(9 - 8.7)}^{2} + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.3

Resta $8.7$ de $9$ .

$\frac{59.29 + {0.3}^{2} + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.4

Eleva $0.3$ a la potencia de $2$ .

$\frac{59.29 + 0.09 + {(4 - 8.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.5

Resta $8.7$ de $4$ .

$\frac{59.29 + 0.09 + {(- 4.7)}^{2} + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.6

Eleva $- 4.7$ a la potencia de $2$ .

$\frac{59.29 + 0.09 + 22.09 + {(12 - 8.7)}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.7

Resta $8.7$ de $12$ .

$\frac{59.29 + 0.09 + 22.09 + {3.3}^{2} + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.8

Eleva $3.3$ a la potencia de $2$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + {(13 - 8.7)}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.9

Resta $8.7$ de $13$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + {4.3}^{2} + {(13 - 8.7)}^{2}}{6}$

Paso 1.10

Eleva $4.3$ a la potencia de $2$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + 18.49 + {(13 - 8.7)}^{2}}{6}$

Paso 1.11

Resta $8.7$ de $13$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + 18.49 + {4.3}^{2}}{6}$

Paso 1.12

Eleva $4.3$ a la potencia de $2$ .

$\frac{59.29 + 0.09 + 22.09 + 10.89 + 18.49 + 18.49}{6}$

Paso 1.13

Suma $59.29$ y $0.09$ .

$\frac{59.38 + 22.09 + 10.89 + 18.49 + 18.49}{6}$

Paso 1.14

Suma $59.38$ y $22.09$ .

$\frac{81.47 + 10.89 + 18.49 + 18.49}{6}$

Paso 1.15

Suma $81.47$ y $10.89$ .

$\frac{92.36 + 18.49 + 18.49}{6}$

Paso 1.16

Suma $92.36$ y $18.49$ .

$\frac{110.85 + 18.49}{6}$

Paso 1.17

Suma $110.85$ y $18.49$ .

$\frac{129.34}{6}$

Paso 2

Divide $129.34$ por $6$ .

$21.55\overline{6}$