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受欢迎的代数 >

3^3=2^3(c^3)

解答

3^{3} = 2^{3} (c^{3})

解答

c = \frac{3}{2}, c = - \frac{3}{4} + \frac{3 3}{4} i, c = - \frac{3}{4} - \frac{3 3}{4} i

求解步骤

3^{3} = 2^{3} (c^{3})

交换两边

2^{3} (c^{3}) = 3^{3}

3^{3} = 27

2^{3} c^{3} = 27

两边除以

8

c^{3} = \frac{27}{8}

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}

c = 3 \frac{27}{8}, c = 3 \frac{27}{8} \frac{- 1 + 3 i}{2}, c = 3 \frac{27}{8} \frac{- 1 - 3 i}{2}

3 \frac{27}{8} = \frac{3}{2}

化简

3 \frac{27}{8} \frac{- 1 + 3 i}{2} : - \frac{3}{4} + \frac{3 3}{4} i

化简

3 \frac{27}{8} \frac{- 1 - 3 i}{2} : - \frac{3}{4} - \frac{3 3}{4} i

c = \frac{3}{2}, c = - \frac{3}{4} + \frac{3 3}{4} i, c = - \frac{3}{4} - \frac{3 3}{4} i

作图

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