5/(x+3)+(3x)/(x+4)=2

解答

\frac{5}{x + 3} + \frac{3 x}{x + 4} = 2

x = 2, x = - 2

求解步骤

\frac{5}{x + 3} + \frac{3 x}{x + 4} = 2

乘以最小公倍数

5 (x + 4) + 3 x (x + 3) = 2 (x + 3) (x + 4)

解

5 (x + 4) + 3 x (x + 3) = 2 (x + 3) (x + 4) : x = 2, x = - 2

x = 2, x = - 2

验证解

找到无定义的点（奇点）:

x = - 3, x = - 4

将不在定义域的点与解相综合:

x = 2, x = - 2

\frac{x - 3}{x + 4} = \frac{4}{5}

0.2 = \frac{x ^{2}}{65 - x}

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

0.2 = \frac{x ^{2}}{15 - x}

\frac{w - 2}{w} = \frac{3}{6}