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受欢迎的代数 >

(x+8)^3-81=0

解答

(x + 8)^{3} - 81 = 0

解答

x = 333 - 8, x = \frac{- 16 - 3 3 3}{2} + i \frac{3 \cdot 3 ^{\frac{5}{6}}}{2}, x = \frac{- 16 - 3 3 3}{2} - i \frac{3 \cdot 3 ^{\frac{5}{6}}}{2}

求解步骤

(x + 8)^{3} - 81 = 0

将

81

到右边

(x + 8)^{3} = 81

对于

g^{3} (x) = f (a)

解为

g (x) = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

解

x + 8 = 381 : x = 333 - 8

解

x + 8 = 381 \frac{- 1 + 3 i}{2} : x = \frac{- 16 - 3 3 3}{2} + i \frac{3 \cdot 3 ^{\frac{5}{6}}}{2}

解

x + 8 = 381 \frac{- 1 - 3 i}{2} : x = \frac{- 16 - 3 3 3}{2} - i \frac{3 \cdot 3 ^{\frac{5}{6}}}{2}

解为

x = 333 - 8, x = \frac{- 16 - 3 3 3}{2} + i \frac{3 \cdot 3 ^{\frac{5}{6}}}{2}, x = \frac{- 16 - 3 3 3}{2} - i \frac{3 \cdot 3 ^{\frac{5}{6}}}{2}

作图

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