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受欢迎的代数 >

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

解答

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

解答

x = \frac{1 + 13}{6}, x = \frac{1 - 13}{6}

+1

十进制

x = 0.76759 \dots, x = - 0.43425 \dots

求解步骤

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

使用分式交叉相乘

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

解

(2 x - 1) x = (x + 1) (1 - x) : x = \frac{1 + 13}{6}, x = \frac{1 - 13}{6}

x = \frac{1 + 13}{6}, x = \frac{1 - 13}{6}

验证解

找到无定义的点（奇点）:

x = - 1, x = 0

将不在定义域的点与解相综合:

x = \frac{1 + 13}{6}, x = \frac{1 - 13}{6}

作图

流行的例子

X + \frac{1}{X} = 3

solvefor x,y+1= 1/x-1

so l v e f or x, y + 1 = \frac{1}{x} - 1

solvefor x,z= 1/(xy)

so l v e f or x, z = \frac{1}{x y}

-18x+36=(16x-12)/(x+18)

- 18 x + 36 = \frac{16 x - 12}{x + 18}

\frac{4}{h} = \frac{8}{10}