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受欢迎的代数 >

x^{-4}x+7=0

解答

x^{- 4} x + 7 = 0

解答

x = - \frac{1}{3 7}, x = \frac{1}{2 3 7} - \frac{3}{2 3 7} i, x = \frac{1}{2 3 7} + \frac{3}{2 3 7} i

求解步骤

x^{- 4} x + 7 = 0

整理后得

\frac{1}{x ^{3}} + 7 = 0

在两边乘以

x^{3}

1 + 7 x^{3} = 0

解

1 + 7 x^{3} = 0 : x = - \frac{1}{3 7}, x = \frac{1}{2 3 7} - \frac{3}{2 3 7} i, x = \frac{1}{2 3 7} + \frac{3}{2 3 7} i

x = - \frac{1}{3 7}, x = \frac{1}{2 3 7} - \frac{3}{2 3 7} i, x = \frac{1}{2 3 7} + \frac{3}{2 3 7} i

验证解

找到无定义的点（奇点）:

x = 0

将不在定义域的点与解相综合:

x = - \frac{1}{3 7}, x = \frac{1}{2 3 7} - \frac{3}{2 3 7} i, x = \frac{1}{2 3 7} + \frac{3}{2 3 7} i

作图

流行的例子

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63.134 = 60 + x + \frac{1}{10} + \frac{x}{100} + \frac{4}{x}

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