Solve (724-889.6)^2+(629-889.6)^2+(646-889.6)^2+(814-889.6)^2

$$( 724 - 889.6 ) ^ { 2 } + ( 629 - 889.6 ) ^ { 2 } + ( 646 - 889.6 ) ^ { 2 } + ( 814 - 889.6 ) ^ { 2 }$$

Evaluate

$$160392.04$$

Solution Steps

Subtract 889.6 from 724 to get -165.6.

$$\left(-165.6\right)^{2}+\left(629-889.6\right)^{2}+\left(646-889.6\right)^{2}+\left(814-889.6\right)^{2}$$

Calculate -165.6 to the power of 2 and get 27423.36.

$$27423.36+\left(629-889.6\right)^{2}+\left(646-889.6\right)^{2}+\left(814-889.6\right)^{2}$$

Subtract 889.6 from 629 to get -260.6.

$$27423.36+\left(-260.6\right)^{2}+\left(646-889.6\right)^{2}+\left(814-889.6\right)^{2}$$

Calculate -260.6 to the power of 2 and get 67912.36.

$$27423.36+67912.36+\left(646-889.6\right)^{2}+\left(814-889.6\right)^{2}$$

Add 27423.36 and 67912.36 to get 95335.72.

$$95335.72+\left(646-889.6\right)^{2}+\left(814-889.6\right)^{2}$$

Subtract 889.6 from 646 to get -243.6.

$$95335.72+\left(-243.6\right)^{2}+\left(814-889.6\right)^{2}$$

Calculate -243.6 to the power of 2 and get 59340.96.

$$95335.72+59340.96+\left(814-889.6\right)^{2}$$

Add 95335.72 and 59340.96 to get 154676.68.

$$154676.68+\left(814-889.6\right)^{2}$$

Subtract 889.6 from 814 to get -75.6.

$$154676.68+\left(-75.6\right)^{2}$$

Calculate -75.6 to the power of 2 and get 5715.36.

$$154676.68+5715.36$$

Add 154676.68 and 5715.36 to get 160392.04.

$$160392.04$$

Factor

$$\frac{29 \cdot 101 \cdot 37 ^ {2}}{5 ^ {2}} = 160392\frac{1}{25} = 160392.04$$