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受欢迎的代数 >

27x^3-1=0

解答

27 x^{3} - 1 = 0

解答

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

求解步骤

27 x^{3} - 1 = 0

将

1

到右边

27 x^{3} = 1

两边除以

27

x^{3} = \frac{1}{27}

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}

x = 3 \frac{1}{27}, x = 3 \frac{1}{27} \frac{- 1 + 3 i}{2}, x = 3 \frac{1}{27} \frac{- 1 - 3 i}{2}

3 \frac{1}{27} = \frac{1}{3}

化简

3 \frac{1}{27} \frac{- 1 + 3 i}{2} : - \frac{1}{6} + \frac{1}{2 3} i

化简

3 \frac{1}{27} \frac{- 1 - 3 i}{2} : - \frac{1}{6} - \frac{1}{2 3} i

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

作图

流行的例子

4x^2-9=(2x^3)(2x-3)

4 x^{2} - 9 = (2 x^{3}) (2 x - 3)

8 x^{3} = (- 2 x) (A)

9x^3-18x^2-4x+8=0

9 x^{3} - 18 x^{2} - 4 x + 8 = 0

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

-x^3+2x^2+4x-8=0

- x^{3} + 2 x^{2} + 4 x - 8 = 0