Resolver (68^2+68^2)-(2*68*68)cos(72)

$$( { 68 }^{ 2 } + { 68 }^{ 2 } )-(2 \times 68 \times 68) \cos ( 72 )$$

Avaliar

$$6390,2108360204859824$$

Passos Para a Resolução

Evaluate trigonometric functions in the problem

$${({(68)} ^ {2} + {(68)} ^ {2})} - {(2 \cdot 68 \cdot 68)} 0,30901699437494745$$

Calcule 68 elevado a 2 e obtenha 4624.

$$4624+68^{2}-2\times 68\times 68\times 0,30901699437494745$$

Calcule 68 elevado a 2 e obtenha 4624.

$$4624+4624-2\times 68\times 68\times 0,30901699437494745$$

Some 4624 e 4624 para obter 9248.

$$9248-2\times 68\times 68\times 0,30901699437494745$$

Multiplique 2 e 68 para obter 136.

$$9248-136\times 68\times 0,30901699437494745$$

Multiplique 136 e 68 para obter 9248.

$$9248-9248\times 0,30901699437494745$$

Multiplique 9248 e 0,30901699437494745 para obter 2857,7891639795140176.

$$9248-2857,7891639795140176$$

Subtraia 2857,7891639795140176 de 9248 para obter 6390,2108360204859824.

$$6390,2108360204859824$$

Fatorizar

$$\frac{13819660112501051 \cdot 17 ^ {2}}{2 ^ {12} \cdot 5 ^ {16}} = 6390\frac{131772512803840}{625000000000000} = 6390,210836020487$$