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受欢迎的代数 >

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

解答

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

解答

x = \frac{2}{3}, x = - \frac{2}{3}

+1

十进制

x = 1.15470 \dots, x = - 1.15470 \dots

求解步骤

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

乘以最小公倍数

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

解

x (x - 2) + 2 (x + 2) = - 2 (x + 2) (x - 2) : x = \frac{2}{3}, x = - \frac{2}{3}

x = \frac{2}{3}, x = - \frac{2}{3}

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 = \frac{2}{3}, x = - \frac{2}{3}

作图

流行的例子

3/(x-1)= 4/(x+2)

\frac{3}{x - 1} = \frac{4}{x + 2}

-3/x = x/(5x+18)

- \frac{3}{x} = \frac{x}{5 x + 18}

(16)/(x+3)+7/(x-2)=3

\frac{16}{x + 3} + \frac{7}{x - 2} = 3

\frac{a}{x} = b

solvefor P= W/t ,t

so l v e f or P = \frac{W}{t}, t