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

解

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

x = \frac{5}{3} + i \frac{5}{3}, x = \frac{5}{3} - i \frac{5}{3}

解答ステップ

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

LCMで乗じる

3 x^{2} + 2 (5 - x) = 8 x

解く

3 x^{2} + 2 (5 - x) = 8 x : x = \frac{5}{3} + i \frac{5}{3}, x = \frac{5}{3} - i \frac{5}{3}

x = \frac{5}{3} + i \frac{5}{3}, x = \frac{5}{3} - i \frac{5}{3}