Resolver 5*(left(81-85.5right)^2+left(90.875-85.5right)^2+left(84.625-85.5right)^2)

$$5 \times ( { \left(81-85.5 \right) }^{ 2 } + { \left(90.875-85.5 \right) }^{ 2 } + { \left(84.625-85.5 \right) }^{ 2 } )$$

Calcular

$$249.53125$$

Pasos da solución

Resta 85.5 de 81 para obter -4.5.

$$5\left(\left(-4.5\right)^{2}+\left(90.875-85.5\right)^{2}+\left(84.625-85.5\right)^{2}\right)$$

Calcula -4.5 á potencia de 2 e obtén 20.25.

$$5\left(20.25+\left(90.875-85.5\right)^{2}+\left(84.625-85.5\right)^{2}\right)$$

Resta 85.5 de 90.875 para obter 5.375.

$$5\left(20.25+5.375^{2}+\left(84.625-85.5\right)^{2}\right)$$

Calcula 5.375 á potencia de 2 e obtén 28.890625.

$$5\left(20.25+28.890625+\left(84.625-85.5\right)^{2}\right)$$

Suma 20.25 e 28.890625 para obter 49.140625.

$$5\left(49.140625+\left(84.625-85.5\right)^{2}\right)$$

Resta 85.5 de 84.625 para obter -0.875.

$$5\left(49.140625+\left(-0.875\right)^{2}\right)$$

Calcula -0.875 á potencia de 2 e obtén 0.765625.

$$5\left(49.140625+0.765625\right)$$

Suma 49.140625 e 0.765625 para obter 49.90625.

$$5\times 49.90625$$

Multiplica 5 e 49.90625 para obter 249.53125.

$$249.53125$$

Factorizar

$$\frac{5 \cdot 1597}{2 ^ {5}} = 249\frac{17}{32} = 249.53125$$