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受欢迎的代数 >

(x-1)^3-54=0

解答

(x - 1)^{3} - 54 = 0

解答

x = 332 + 1, x = \frac{3 2 ( 2 ^{\frac{2}{3}} - 3 )}{2} + i \frac{3 3 2 3}{2}, x = \frac{3 2 ( 2 ^{\frac{2}{3}} - 3 )}{2} - i \frac{3 3 2 3}{2}

求解步骤

(x - 1)^{3} - 54 = 0

将

54

到右边

(x - 1)^{3} = 54

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 - 1 = 354 : x = 332 + 1

解

x - 1 = 354 \frac{- 1 + 3 i}{2} : x = \frac{3 2 ( 2 ^{\frac{2}{3}} - 3 )}{2} + i \frac{3 3 2 3}{2}

解

x - 1 = 354 \frac{- 1 - 3 i}{2} : x = \frac{3 2 ( 2 ^{\frac{2}{3}} - 3 )}{2} - i \frac{3 3 2 3}{2}

解为

x = 332 + 1, x = \frac{3 2 ( 2 ^{\frac{2}{3}} - 3 )}{2} + i \frac{3 3 2 3}{2}, x = \frac{3 2 ( 2 ^{\frac{2}{3}} - 3 )}{2} - i \frac{3 3 2 3}{2}

作图

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