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受欢迎的代数 >

1/(x+2)+1/(x^2-2x)=8

解答

\frac{1}{x + 2} + \frac{1}{x ^{2} - 2 x} = 8

解答

x \approx - 0.06472 \dots, x \approx - 1.87280 \dots, x \approx 2.06252 \dots

求解步骤

\frac{1}{x + 2} + \frac{1}{x ^{2} - 2 x} = 8

乘以最小公倍数

x (x - 2) + x + 2 = 8 x (x + 2) (x - 2)

解

x (x - 2) + x + 2 = 8 x (x + 2) (x - 2) : x \approx - 0.06472 \dots, x \approx - 1.87280 \dots, x \approx 2.06252 \dots

x \approx - 0.06472 \dots, x \approx - 1.87280 \dots, x \approx 2.06252 \dots

验证解

找到无定义的点（奇点）:

x = - 2, x = 2, x = 0

将不在定义域的点与解相综合:

x \approx - 0.06472 \dots, x \approx - 1.87280 \dots, x \approx 2.06252 \dots

作图

流行的例子

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