Solve (9-8.6)^2*6+(8.6-7)^2*2+(8-8.6)^2+(10-8.6)^2]

$$( 9 - 8.6 ) ^ { 2 } \times 6 + ( 8.6 - 7 ) ^ { 2 } \times 2 + ( 8 - 8.6 ) ^ { 2 } + ( 10 - 8.6 ) ^ { 2 } ]$$

Evaluate

$$8.4$$

Solution Steps

Subtract 8.6 from 9 to get 0.4.

$$0.4^{2}\times 6+\left(8.6-7\right)^{2}\times 2+\left(8-8.6\right)^{2}+\left(10-8.6\right)^{2}$$

Calculate 0.4 to the power of 2 and get 0.16.

$$0.16\times 6+\left(8.6-7\right)^{2}\times 2+\left(8-8.6\right)^{2}+\left(10-8.6\right)^{2}$$

Multiply 0.16 and 6 to get 0.96.

$$0.96+\left(8.6-7\right)^{2}\times 2+\left(8-8.6\right)^{2}+\left(10-8.6\right)^{2}$$

Subtract 7 from 8.6 to get 1.6.

$$0.96+1.6^{2}\times 2+\left(8-8.6\right)^{2}+\left(10-8.6\right)^{2}$$

Calculate 1.6 to the power of 2 and get 2.56.

$$0.96+2.56\times 2+\left(8-8.6\right)^{2}+\left(10-8.6\right)^{2}$$

Multiply 2.56 and 2 to get 5.12.

$$0.96+5.12+\left(8-8.6\right)^{2}+\left(10-8.6\right)^{2}$$

Add 0.96 and 5.12 to get 6.08.

$$6.08+\left(8-8.6\right)^{2}+\left(10-8.6\right)^{2}$$

Subtract 8.6 from 8 to get -0.6.

$$6.08+\left(-0.6\right)^{2}+\left(10-8.6\right)^{2}$$

Calculate -0.6 to the power of 2 and get 0.36.

$$6.08+0.36+\left(10-8.6\right)^{2}$$

Add 6.08 and 0.36 to get 6.44.

$$6.44+\left(10-8.6\right)^{2}$$

Subtract 8.6 from 10 to get 1.4.

$$6.44+1.4^{2}$$

Calculate 1.4 to the power of 2 and get 1.96.

$$6.44+1.96$$

Add 6.44 and 1.96 to get 8.4.

$$8.4$$

Factor

$$\frac{2 \cdot 3 \cdot 7}{5} = 8\frac{2}{5} = 8.4$$