Solve (11-9.3)^2*2+(12-9.3)^2*2

$$( 11 - 9.3 ) ^ { 2 } \times 2 + ( 12 - 9.3 ) ^ { 2 } \times 2$$

Evaluate

$$20.36$$

Solution Steps

Subtract 9.3 from 11 to get 1.7.

$$1.7^{2}\times 2+\left(12-9.3\right)^{2}\times 2$$

Calculate 1.7 to the power of 2 and get 2.89.

$$2.89\times 2+\left(12-9.3\right)^{2}\times 2$$

Multiply 2.89 and 2 to get 5.78.

$$5.78+\left(12-9.3\right)^{2}\times 2$$

Subtract 9.3 from 12 to get 2.7.

$$5.78+2.7^{2}\times 2$$

Calculate 2.7 to the power of 2 and get 7.29.

$$5.78+7.29\times 2$$

Multiply 7.29 and 2 to get 14.58.

$$5.78+14.58$$

Add 5.78 and 14.58 to get 20.36.

$$20.36$$

Factor

$$\frac{509}{5 ^ {2}} = 20\frac{9}{25} = 20.36$$