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

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

Avaliar

$$249.53125$$

Passos Para a Resolução

Subtraia 85.5 de 81 para obter -4.5.

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

Calcule -4.5 elevado a 2 e obtenha 20.25.

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

Subtraia 85.5 de 90.875 para obter 5.375.

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

Calcule 5.375 elevado a 2 e obtenha 28.890625.

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

Some 20.25 e 28.890625 para obter 49.140625.

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

Subtraia 85.5 de 84.625 para obter -0.875.

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

Calcule -0.875 elevado a 2 e obtenha 0.765625.

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

Some 49.140625 e 0.765625 para obter 49.90625.

$$5\times 49.90625$$

Multiplique 5 e 49.90625 para obter 249.53125.

$$249.53125$$

Fatorizar

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