a/(a+x)+a/(a-x)=b

解

\frac{a}{a + x} + \frac{a}{a - x} = b

x = - \frac{a b - 2}{b}, x = \frac{a b - 2}{b}; b \neq = 0

解答ステップ

\frac{a}{a + x} + \frac{a}{a - x} = b

LCMで乗じる

a (- x + a) + a (x + a) = b (x + a) (- x + a)

解く

a (- x + a) + a (x + a) = b (x + a) (- x + a) : x = - \frac{a b - 2}{b}, x = \frac{a b - 2}{b}; b \neq = 0

x = - \frac{a b - 2}{b}, x = \frac{a b - 2}{b}; b \neq = 0