5*(left(81-85.5right)^2+left(90.875-85.5right)^2+left(84.625-85.5right)^2)-এর সমাধান করুন

$$5 \times ( { \left(81-85.5 \right) }^{ 2 } + { \left(90.875-85.5 \right) }^{ 2 } + { \left(84.625-85.5 \right) }^{ 2 } )$$

Evaluate

$$249.53125$$

Solution Steps

Subtract 85.5 from 81 to get -4.5.

$$5\left(\left(-4.5\right)^{2}+\left(90.875-85.5\right)^{2}+\left(84.625-85.5\right)^{2}\right)$$

Calculate -4.5 to the power of 2 and get 20.25.

$$5\left(20.25+\left(90.875-85.5\right)^{2}+\left(84.625-85.5\right)^{2}\right)$$

Subtract 85.5 from 90.875 to get 5.375.

$$5\left(20.25+5.375^{2}+\left(84.625-85.5\right)^{2}\right)$$

Calculate 5.375 to the power of 2 and get 28.890625.

$$5\left(20.25+28.890625+\left(84.625-85.5\right)^{2}\right)$$

Add 20.25 and 28.890625 to get 49.140625.

$$5\left(49.140625+\left(84.625-85.5\right)^{2}\right)$$

Subtract 85.5 from 84.625 to get -0.875.

$$5\left(49.140625+\left(-0.875\right)^{2}\right)$$

Calculate -0.875 to the power of 2 and get 0.765625.

$$5\left(49.140625+0.765625\right)$$

Add 49.140625 and 0.765625 to get 49.90625.

$$5\times 49.90625$$

Multiply 5 and 49.90625 to get 249.53125.

$$249.53125$$

Factor

$$\frac{5 \cdot 1597}{2 ^ {5}} = 249\frac{17}{32} = 249.53125$$