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受欢迎的代数 >

8x^3-125=0

解答

8 x^{3} - 125 = 0

解答

x = \frac{5}{2}, x = - \frac{5}{4} + \frac{5 3}{4} i, x = - \frac{5}{4} - \frac{5 3}{4} i

求解步骤

8 x^{3} - 125 = 0

将

125

到右边

8 x^{3} = 125

两边除以

8

x^{3} = \frac{125}{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}

x = 3 \frac{125}{8}, x = 3 \frac{125}{8} \frac{- 1 + 3 i}{2}, x = 3 \frac{125}{8} \frac{- 1 - 3 i}{2}

3 \frac{125}{8} = \frac{5}{2}

化简

3 \frac{125}{8} \frac{- 1 + 3 i}{2} : - \frac{5}{4} + \frac{5 3}{4} i

化简

3 \frac{125}{8} \frac{- 1 - 3 i}{2} : - \frac{5}{4} - \frac{5 3}{4} i

x = \frac{5}{2}, x = - \frac{5}{4} + \frac{5 3}{4} i, x = - \frac{5}{4} - \frac{5 3}{4} i

作图

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