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受欢迎的代数 >

z^3-64=0

解答

z^{3} - 64 = 0

解答

z = 4, z = - 2 + 23 i, z = - 2 - 23 i

求解步骤

z^{3} - 64 = 0

将

64

到右边

z^{3} = 64

对于

x^{3} = f (a)

解为

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

z = 364, z = 364 \frac{- 1 + 3 i}{2}, z = 364 \frac{- 1 - 3 i}{2}

364 = 4

化简

364 \frac{- 1 + 3 i}{2} : - 2 + 23 i

化简

364 \frac{- 1 - 3 i}{2} : - 2 - 23 i

z = 4, z = - 2 + 23 i, z = - 2 - 23 i

作图

流行的例子

0 = x^{3} + x^{2} - 9 x - 9

3 x^{4} = 24 x

x^{3} - 3 x^{2} - x + 2 = 0

0 = x^{4} - 3 x^{3} + 6 x

r^{3} - 3 r^{2} + 2 r = 0