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受欢迎的代数 >

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

解答

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

解答

x = \frac{- 1 + 33}{2}, x = \frac{- 1 - 33}{2}

+1

十进制

x = 2.37228 \dots, x = - 3.37228 \dots

求解步骤

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

将

2

到右边

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

在两边乘以

x + 2

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

解

x (x + 2) - 6 = x + 2 : x = \frac{- 1 + 33}{2}, x = \frac{- 1 - 33}{2}

x = \frac{- 1 + 33}{2}, x = \frac{- 1 - 33}{2}

验证解

找到无定义的点（奇点）:

x = - 2

将不在定义域的点与解相综合:

x = \frac{- 1 + 33}{2}, x = \frac{- 1 - 33}{2}

作图

流行的例子

(ax-3)/(2a-3x)=2

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

\frac{9}{x} = \frac{3}{2}

solvefor x,(2x-y)/x =4

so l v e f or x, \frac{2 x - y}{x} = 4

\frac{5}{y + 2} = y + 2

(x+3)/(x-3)= 12/3

\frac{x + 3}{x - 3} = \frac{12}{3}