x/((x+1))+2=((2x-3))/x+3/((x(x+1)))

解答

\frac{x}{( x + 1 )} + 2 = \frac{( 2 x - 3 )}{x} + \frac{3}{( x ( x + 1 ) )}

x = - 3

求解步骤

\frac{x}{( x + 1 )} + 2 = \frac{( 2 x - 3 )}{x} + \frac{3}{( x ( x + 1 ) )}

乘以最小公倍数

x^{2} + 2 x (x + 1) = (2 x - 3) (x + 1) + 3

解

x^{2} + 2 x (x + 1) = (2 x - 3) (x + 1) + 3 : x = 0, x = - 3

x = 0, x = - 3

验证解

找到无定义的点（奇点）:

x = - 1, x = 0

因为方程对以下值无定义:

0

x = - 3

\frac{( x - b )}{( x - a )} + \frac{( x - a )}{( b - a )} = 1

\frac{8 x ^{3}}{2 \cdot x ^{- 5}} = 4 x^{8}

\frac{( 25 )}{1.5} = \frac{50}{a}

x + \frac{1}{x} = 3, x + \frac{1}{( x )}

\frac{2 x - 1 + 1}{( x - 2 )} = \frac{x + 1 - 1}{( 2 - x )}