solvefor x,f+1/x*f(-x)=2x

解

解く

x, f + \frac{1}{x} \cdot f (- x) = 2 x

x = \frac{f + f ^{2} + 8 f ( - x )}{4}, x = \frac{f - f ^{2} + 8 f ( - x )}{4}

解答ステップ

f + \frac{1}{x} f (- x) = 2 x

簡素化

\frac{1}{x} f (- x) : \frac{f ( - x )}{x}

f + \frac{f ( - x )}{x} = 2 x

以下で両辺を乗じる:

x

f x + f (- x) = 2 x^{2}

解く

f x + f (- x) = 2 x^{2} : x = \frac{f + f ^{2} + 8 f ( - x )}{4}, x = \frac{f - f ^{2} + 8 f ( - x )}{4}

x = \frac{f + f ^{2} + 8 f ( - x )}{4}, x = \frac{f - f ^{2} + 8 f ( - x )}{4}