3(x+2)^{-1}-4/x =0

解答

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

x = - 8

求解步骤

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

整理后得

\frac{3}{x + 2} - \frac{4}{x} = 0

乘以最小公倍数

3 x - 4 (x + 2) = 0

乘开

- 4 (x + 2) : - 4 x - 8

3 x - 4 x - 8 = 0

\frac{2 x - 1}{2 x + 2} = \frac{7}{10}

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

1 + \frac{1}{x} = 0

- 15 x + 8 x - 36 = \frac{- 21}{3 + 5 x - 17}

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