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受欢迎的代数 >

(1)2*((x+1)/x)^2-3((x-1)/x)-8=0

解答

(1) 2 \cdot (\frac{x + 1}{x})^{2} - 3 (\frac{x - 1}{x}) - 8 = 0

解答

x = - \frac{2}{9}, x = 1

+1

十进制

x = - 0.22222 \dots, x = 1

求解步骤

(1) \cdot 2 (\frac{x + 1}{x})^{2} - 3 (\frac{x - 1}{x}) - 8 = 0

乘以最小公倍数

2 (x + 1)^{2} - 3 x (x - 1) - 8 x^{2} = 0

解

2 (x + 1)^{2} - 3 x (x - 1) - 8 x^{2} = 0 : x = - \frac{2}{9}, x = 1

x = - \frac{2}{9}, x = 1

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{2}{9}, x = 1

作图

流行的例子

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