x(x+1)+(24)/(x(x+1))=14

解答

x (x + 1) + \frac{24}{x ( x + 1 )} = 14

x = 1, x = - 2, x = 3, x = - 4

求解步骤

x (x + 1) + \frac{24}{x ( x + 1 )} = 14

在两边乘以

x (x + 1)

x^{2} (x + 1)^{2} + 24 = 14 x (x + 1)

解

x^{2} (x + 1)^{2} + 24 = 14 x (x + 1) : x = 1, x = - 2, x = 3, x = - 4

x = 1, x = - 2, x = 3, x = - 4

验证解

找到无定义的点（奇点）:

x = 0, x = - 1

将不在定义域的点与解相综合:

x = 1, x = - 2, x = 3, x = - 4

X (\frac{200}{X - 1}) + 10 X = 200

x + \frac{10}{x} = 11

so l v e f or a, b = \frac{a}{1 - a}

\frac{v - 7}{v + 10} = \frac{3}{5}

\frac{x + 3}{3} = \frac{8}{x - 2}