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受欢迎的代数 >

f^6=sqrt(6+3)

解答

f^{6} = 6 + 3

解答

f = 33, f = - 33, f = \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} + \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i, f = - \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} - \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i, f = \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} - \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i, f = - \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} + \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i

求解步骤

f^{6} = 6 + 3

化简

6 + 3 : 3

用

u = f^{2}

和

u^{3} = f^{6}

改写方程式

u^{3} = 3

解

u^{3} = 3 : u = 33, u = 33 \frac{- 1 + 3 i}{2}, u = 33 \frac{- 1 - 3 i}{2}

u = 33, u = 33 \frac{- 1 + 3 i}{2}, u = 33 \frac{- 1 - 3 i}{2}

代回

u = f^{2}

，求解

f

解

f^{2} = 33 : f = 33, f = - 33

解

f^{2} = 33 \frac{- 1 + 3 i}{2} : f = \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} + \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i, f = - \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} - \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i

解

f^{2} = 33 \frac{- 1 - 3 i}{2} : f = \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} - \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i, f = - \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} + \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i

解为

f = 33, f = - 33, f = \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} + \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i, f = - \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} - \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i, f = \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} - \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i, f = - \frac{- 3 3 + 2 3 ^{\frac{2}{3}}}{2} + \frac{3 ^{\frac{5}{6}}}{2 - 3 3 + 2 3 ^{\frac{2}{3}}} i

作图

流行的例子

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