5/((\frac{(6-x)){2})}-x/3 =2x+4

解答

\frac{5}{( \frac{( 6 - x )}{2} )} - \frac{x}{3} = 2 x + 4

x = \frac{15 + 519}{7}, x = \frac{15 - 519}{7}

十进制

x = 5.39736 \dots, x = - 1.11165 \dots

求解步骤

\frac{5}{( \frac{( 6 - x )}{2} )} - \frac{x}{3} = 2 x + 4

乘以最小公倍数

30 - x (- x + 6) = 6 x (- x + 6) + 12 (- x + 6)

解

30 - x (- x + 6) = 6 x (- x + 6) + 12 (- x + 6) : x = \frac{15 + 519}{7}, x = \frac{15 - 519}{7}

x = \frac{15 + 519}{7}, x = \frac{15 - 519}{7}

验证解

找到无定义的点（奇点）:

x = 6

将不在定义域的点与解相综合:

x = \frac{15 + 519}{7}, x = \frac{15 - 519}{7}

∣ x ∣ + \frac{4 - x ^{2}}{x} = \frac{4}{x}

\frac{24}{20 + x} = \frac{24 + x}{44 + x}

so l v e f or x, f (x)^{- 1} = \frac{( 4 x - 3 )}{( x + 4 )}

so l v e f or x, \frac{15}{x} + y = 7

4 (\frac{x - 1}{x})^{2} + 8 (\frac{x + 1}{x}) - 29 = 0