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受欢迎的代数 >

((x^5)/(x^3))^2=x

解答

(\frac{x ^{5}}{x ^{3}})^{2} = x

解答

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

求解步骤

(\frac{x ^{5}}{x ^{3}})^{2} = x

化简

(\frac{x ^{5}}{x ^{3}})^{2} : x^{4}

x^{4} = x

解

x^{4} = x : x = 0, x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

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

验证解

找到无定义的点（奇点）:

x = 0

因为方程对以下值无定义:

0

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

作图

流行的例子

\frac{2}{9} = \frac{10}{x}

-f(a)=(8x-5)/(3x+4)

- f (a) = \frac{8 x - 5}{3 x + 4}

\frac{9}{2} = \frac{8}{n + 3}

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

solvefor w,Cd=(12ds)/w

so l v e f or w, C d = \frac{12 d s}{w}