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受欢迎的代数 >

(x+3)/(x-2)=(5x)/(x+6)

解答

\frac{x + 3}{x - 2} = \frac{5 x}{x + 6}

解答

x = - \frac{- 19 + 649}{8}, x = \frac{19 + 649}{8}

+1

十进制

x = - 0.80943 \dots, x = 5.55943 \dots

求解步骤

\frac{x + 3}{x - 2} = \frac{5 x}{x + 6}

使用分式交叉相乘

(x + 3) (x + 6) = (x - 2) \cdot 5 x

解

(x + 3) (x + 6) = (x - 2) \cdot 5 x : x = - \frac{- 19 + 649}{8}, x = \frac{19 + 649}{8}

x = - \frac{- 19 + 649}{8}, x = \frac{19 + 649}{8}

验证解

找到无定义的点（奇点）:

x = 2, x = - 6

将不在定义域的点与解相综合:

x = - \frac{- 19 + 649}{8}, x = \frac{19 + 649}{8}

作图

流行的例子

\frac{4}{x} = \frac{- 2}{9}

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

\frac{9}{x} = 3

1/(x+3)+4=(21)/(x+3)

\frac{1}{x + 3} + 4 = \frac{21}{x + 3}

135=(180(n-2))/n

135 = \frac{180 ( n - 2 )}{n}