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受欢迎的代数 >

0.0012=x^3

解答

0.0012 = x^{3}

解答

x = \frac{3 3}{5 3 20}, x = \frac{3 3 ( - \frac{1}{2} + \frac{3}{2} i )}{5 3 20}, x = \frac{3 3 ( - \frac{1}{2} - \frac{3}{2} i )}{5 3 20}

求解步骤

0.0012 = x^{3}

交换两边

x^{3} = 0.0012

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 0.0012, x = 3 0.0012 \frac{- 1 + 3 i}{2}, x = 3 0.0012 \frac{- 1 - 3 i}{2}

3 0.0012 = \frac{3 3}{5 3 20}

化简

3 0.0012 \frac{- 1 + 3 i}{2} : \frac{3 3 ( - \frac{1}{2} + \frac{3}{2} i )}{5 3 20}

化简

3 0.0012 \frac{- 1 - 3 i}{2} : \frac{3 3 ( - \frac{1}{2} - \frac{3}{2} i )}{5 3 20}

x = \frac{3 3}{5 3 20}, x = \frac{3 3 ( - \frac{1}{2} + \frac{3}{2} i )}{5 3 20}, x = \frac{3 3 ( - \frac{1}{2} - \frac{3}{2} i )}{5 3 20}

作图

流行的例子

x^4+2x^3-6x^2+3x=0

x^{4} + 2 x^{3} - 6 x^{2} + 3 x = 0

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

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

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