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受欢迎的代数 >

6/(x-2)-2/(x+2)=1

解答

\frac{6}{x - 2} - \frac{2}{x + 2} = 1

解答

x = 2 (1 + 6), x = 2 (1 - 6)

+1

十进制

x = 6.89897 \dots, x = - 2.89897 \dots

求解步骤

\frac{6}{x - 2} - \frac{2}{x + 2} = 1

乘以最小公倍数

6 (x + 2) - 2 (x - 2) = (x - 2) (x + 2)

解

6 (x + 2) - 2 (x - 2) = (x - 2) (x + 2) : x = 2 (1 + 6), x = 2 (1 - 6)

x = 2 (1 + 6), x = 2 (1 - 6)

验证解

找到无定义的点（奇点）:

x = 2, x = - 2

将不在定义域的点与解相综合:

x = 2 (1 + 6), x = 2 (1 - 6)

作图

流行的例子

\frac{6}{( x + 2 ) ^{3}} = 0

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1.612 = 0.4 + 1 + \frac{50000}{X}

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