Solve left(250-426.67right)^2+left(350-426.67right)^2+left(450-426.67right)^2+left(550-5426.67right)^2+{left(650-426.67right)}^2=

$${ \left(250-426.67 \right) }^{ 2 } + { \left(350-426.67 \right) }^{ 2 } + { \left(450-426.67 \right) }^{ 2 } + { \left(550-5426.67 \right) }^{ 2 } + { \left(650-426.67 \right) }^{ 2 } =$$

Evaluate

$$23869421.4445$$

Solution Steps

Subtract 426.67 from 250 to get -176.67.

$$\left(-176.67\right)^{2}+\left(350-426.67\right)^{2}+\left(450-426.67\right)^{2}+\left(550-5426.67\right)^{2}+\left(650-426.67\right)^{2}$$

Calculate -176.67 to the power of 2 and get 31212.2889.

$$31212.2889+\left(350-426.67\right)^{2}+\left(450-426.67\right)^{2}+\left(550-5426.67\right)^{2}+\left(650-426.67\right)^{2}$$

Subtract 426.67 from 350 to get -76.67.

$$31212.2889+\left(-76.67\right)^{2}+\left(450-426.67\right)^{2}+\left(550-5426.67\right)^{2}+\left(650-426.67\right)^{2}$$

Calculate -76.67 to the power of 2 and get 5878.2889.

$$31212.2889+5878.2889+\left(450-426.67\right)^{2}+\left(550-5426.67\right)^{2}+\left(650-426.67\right)^{2}$$

Add 31212.2889 and 5878.2889 to get 37090.5778.

$$37090.5778+\left(450-426.67\right)^{2}+\left(550-5426.67\right)^{2}+\left(650-426.67\right)^{2}$$

Subtract 426.67 from 450 to get 23.33.

$$37090.5778+23.33^{2}+\left(550-5426.67\right)^{2}+\left(650-426.67\right)^{2}$$

Calculate 23.33 to the power of 2 and get 544.2889.

$$37090.5778+544.2889+\left(550-5426.67\right)^{2}+\left(650-426.67\right)^{2}$$

Add 37090.5778 and 544.2889 to get 37634.8667.

$$37634.8667+\left(550-5426.67\right)^{2}+\left(650-426.67\right)^{2}$$

Subtract 5426.67 from 550 to get -4876.67.

$$37634.8667+\left(-4876.67\right)^{2}+\left(650-426.67\right)^{2}$$

Calculate -4876.67 to the power of 2 and get 23781910.2889.

$$37634.8667+23781910.2889+\left(650-426.67\right)^{2}$$

Add 37634.8667 and 23781910.2889 to get 23819545.1556.

$$23819545.1556+\left(650-426.67\right)^{2}$$

Subtract 426.67 from 650 to get 223.33.

$$23819545.1556+223.33^{2}$$

Calculate 223.33 to the power of 2 and get 49876.2889.

$$23819545.1556+49876.2889$$

Add 23819545.1556 and 49876.2889 to get 23869421.4445.

$$23869421.4445$$

Factor

$$\frac{37 \cdot 1290238997}{2 ^ {4} \cdot 5 ^ {3}} = 23869421\frac{889}{2000} = 23869421.4445$$