Solve {l}{1.91-2.094^{2}+(2.2-2.094)^2+(2.04-2.094)^2}{+(2.15-2.094)^2+(2.12-2.094)^2}

$$\left. \begin{array} { l } { 1.91 - 2.094 ^ { 2 } + ( 2.2 - 2.094 ) ^ { 2 } + ( 2.04 - 2.094 ) ^ { 2 } } \\ { + ( 2.15 - 2.094 ) ^ { 2 } + ( 2.12 - 2.094 ) ^ { 2 } } \end{array} \right.$$

Evaluate

$$-2.456872$$

Solution Steps

Calculate 2.094 to the power of 2 and get 4.384836.

$$1.91-4.384836+\left(2.2-2.094\right)^{2}+\left(2.04-2.094\right)^{2}+\left(2.15-2.094\right)^{2}+\left(2.12-2.094\right)^{2}$$

Subtract 4.384836 from 1.91 to get -2.474836.

$$-2.474836+\left(2.2-2.094\right)^{2}+\left(2.04-2.094\right)^{2}+\left(2.15-2.094\right)^{2}+\left(2.12-2.094\right)^{2}$$

Subtract 2.094 from 2.2 to get 0.106.

$$-2.474836+0.106^{2}+\left(2.04-2.094\right)^{2}+\left(2.15-2.094\right)^{2}+\left(2.12-2.094\right)^{2}$$

Calculate 0.106 to the power of 2 and get 0.011236.

$$-2.474836+0.011236+\left(2.04-2.094\right)^{2}+\left(2.15-2.094\right)^{2}+\left(2.12-2.094\right)^{2}$$

Add -2.474836 and 0.011236 to get -2.4636.

$$-2.4636+\left(2.04-2.094\right)^{2}+\left(2.15-2.094\right)^{2}+\left(2.12-2.094\right)^{2}$$

Subtract 2.094 from 2.04 to get -0.054.

$$-2.4636+\left(-0.054\right)^{2}+\left(2.15-2.094\right)^{2}+\left(2.12-2.094\right)^{2}$$

Calculate -0.054 to the power of 2 and get 0.002916.

$$-2.4636+0.002916+\left(2.15-2.094\right)^{2}+\left(2.12-2.094\right)^{2}$$

Add -2.4636 and 0.002916 to get -2.460684.

$$-2.460684+\left(2.15-2.094\right)^{2}+\left(2.12-2.094\right)^{2}$$

Subtract 2.094 from 2.15 to get 0.056.

$$-2.460684+0.056^{2}+\left(2.12-2.094\right)^{2}$$

Calculate 0.056 to the power of 2 and get 0.003136.

$$-2.460684+0.003136+\left(2.12-2.094\right)^{2}$$

Add -2.460684 and 0.003136 to get -2.457548.

$$-2.457548+\left(2.12-2.094\right)^{2}$$

Subtract 2.094 from 2.12 to get 0.026.

$$-2.457548+0.026^{2}$$

Calculate 0.026 to the power of 2 and get 0.000676.

$$-2.457548+0.000676$$

Add -2.457548 and 0.000676 to get -2.456872.

$$-2.456872$$

Factor

$$-2.456872$$