Solve 10.4411^{2}+2^{2}+3^{2}+4^{2}+5^{2}+6^{2}+7^2+8^2+9^2+10^2=385

$$10.4411 ^ { 2 } + 2 ^ { 2 } + 3 ^ { 2 } + 4 ^ { 2 } + 5 ^ { 2 } + 6 ^ { 2 } + 7 ^ { 2 } + 8 ^ { 2 } + 9 ^ { 2 } + 10 ^ { 2 } = 385$$

Verify

Solution Steps

Calculate 10.4411 to the power of 2 and get 109.01656921.

$$109.01656921+2^{2}+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Calculate 2 to the power of 2 and get 4.

$$109.01656921+4+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Add 109.01656921 and 4 to get 113.01656921.

$$113.01656921+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Calculate 3 to the power of 2 and get 9.

$$113.01656921+9+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Add 113.01656921 and 9 to get 122.01656921.

$$122.01656921+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Calculate 4 to the power of 2 and get 16.

$$122.01656921+16+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Add 122.01656921 and 16 to get 138.01656921.

$$138.01656921+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Calculate 5 to the power of 2 and get 25.

$$138.01656921+25+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Add 138.01656921 and 25 to get 163.01656921.

$$163.01656921+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Calculate 6 to the power of 2 and get 36.

$$163.01656921+36+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Add 163.01656921 and 36 to get 199.01656921.

$$199.01656921+7^{2}+8^{2}+9^{2}+10^{2}=385$$

Calculate 7 to the power of 2 and get 49.

$$199.01656921+49+8^{2}+9^{2}+10^{2}=385$$

Add 199.01656921 and 49 to get 248.01656921.

$$248.01656921+8^{2}+9^{2}+10^{2}=385$$

Calculate 8 to the power of 2 and get 64.

$$248.01656921+64+9^{2}+10^{2}=385$$

Add 248.01656921 and 64 to get 312.01656921.

$$312.01656921+9^{2}+10^{2}=385$$

Calculate 9 to the power of 2 and get 81.

$$312.01656921+81+10^{2}=385$$

Add 312.01656921 and 81 to get 393.01656921.

$$393.01656921+10^{2}=385$$

Calculate 10 to the power of 2 and get 100.

$$393.01656921+100=385$$

Add 393.01656921 and 100 to get 493.01656921.

$$493.01656921=385$$

Compare 493.01656921 and 385.

$$\text{false}$$