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受欢迎的代数 >

27x^3-343=0

解答

27 x^{3} - 343 = 0

解答

x = \frac{7}{3}, x = - \frac{7}{6} + \frac{7}{2 3} i, x = - \frac{7}{6} - \frac{7}{2 3} i

求解步骤

27 x^{3} - 343 = 0

将

343

到右边

27 x^{3} = 343

两边除以

27

x^{3} = \frac{343}{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{343}{27}, x = 3 \frac{343}{27} \frac{- 1 + 3 i}{2}, x = 3 \frac{343}{27} \frac{- 1 - 3 i}{2}

3 \frac{343}{27} = \frac{7}{3}

化简

3 \frac{343}{27} \frac{- 1 + 3 i}{2} : - \frac{7}{6} + \frac{7}{2 3} i

化简

3 \frac{343}{27} \frac{- 1 - 3 i}{2} : - \frac{7}{6} - \frac{7}{2 3} i

x = \frac{7}{3}, x = - \frac{7}{6} + \frac{7}{2 3} i, x = - \frac{7}{6} - \frac{7}{2 3} i

作图

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