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受欢迎的代数 >

(x-7)/(x+9)= 1/(x-2)

解答

\frac{x - 7}{x + 9} = \frac{1}{x - 2}

解答

x = 5 + 25, x = 5 - 25

+1

十进制

x = 9.47213 \dots, x = 0.52786 \dots

求解步骤

\frac{x - 7}{x + 9} = \frac{1}{x - 2}

使用分式交叉相乘

(x - 7) (x - 2) = x + 9

解

(x - 7) (x - 2) = x + 9 : x = 5 + 25, x = 5 - 25

x = 5 + 25, x = 5 - 25

验证解

找到无定义的点（奇点）:

x = - 9, x = 2

将不在定义域的点与解相综合:

x = 5 + 25, x = 5 - 25

作图

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