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受欢迎的代数 >

(5x+1}{x+2}+\frac{x-1)/x =2

解答

\frac{5 x + 1}{x + 2} + \frac{x - 1}{x} = 2

解答

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

+1

十进制

x = 1, x = - 0.5

求解步骤

\frac{5 x + 1}{x + 2} + \frac{x - 1}{x} = 2

乘以最小公倍数

x (5 x + 1) + (x - 1) (x + 2) = 2 x (x + 2)

解

x (5 x + 1) + (x - 1) (x + 2) = 2 x (x + 2) : x = 1, x = - \frac{1}{2}

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

验证解

找到无定义的点（奇点）:

x = - 2, x = 0

将不在定义域的点与解相综合:

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

作图

流行的例子

\frac{2}{x + 2} = \frac{4}{2}

-3/(x^2+3x)+6= 1/(x+3)

- \frac{3}{x ^{2} + 3 x} + 6 = \frac{1}{x + 3}

x+3/(x+3)= 7/(x+3)

x + \frac{3}{x + 3} = \frac{7}{x + 3}

(2x)/(x-5)+1/(x-3)=3

\frac{2 x}{x - 5} + \frac{1}{x - 3} = 3

6 x - \frac{4}{x} = 5