solvefor x,(2s)/(x-5)+1/(x-3)=3

解

解く

x, \frac{2 s}{x - 5} + \frac{1}{x - 3} = 3

x = \frac{25 + 2 s + 4 s ^{2} + 28 s + 25}{6}, x = \frac{25 + 2 s - 4 s ^{2} + 28 s + 25}{6}

解答ステップ

\frac{2 s}{x - 5} + \frac{1}{x - 3} = 3

LCMで乗じる

2 s (x - 3) + x - 5 = 3 (x - 5) (x - 3)

解く

2 s (x - 3) + x - 5 = 3 (x - 5) (x - 3) : x = \frac{25 + 2 s + 4 s ^{2} + 28 s + 25}{6}, x = \frac{25 + 2 s - 4 s ^{2} + 28 s + 25}{6}

x = \frac{25 + 2 s + 4 s ^{2} + 28 s + 25}{6}, x = \frac{25 + 2 s - 4 s ^{2} + 28 s + 25}{6}