9g(a)= x/(sqrt(x+2))

解

9 g (a) = \frac{x}{x + 2}

x = \frac{81 g ( a ) ^{2} + 9 g ( a ) 81 g ( a ) ^{2} + 8}{2}, x = \frac{81 g ( a ) ^{2} - 9 g ( a ) 81 g ( a ) ^{2} + 8}{2}

解答ステップ

9 g (a) = \frac{x}{x + 2}

以下で両辺を乗じる:

x + 2

9 g (a) x + 2 = \frac{x}{x + 2} x + 2

簡素化

9 g (a) x + 2 = x

両辺を2乗する:

81 xg (a)^{2} + 162 g (a)^{2} = x^{2}

81 xg (a)^{2} + 162 g (a)^{2} = x^{2}

解く

81 xg (a)^{2} + 162 g (a)^{2} = x^{2} : x = \frac{81 g ( a ) ^{2} + 9 g ( a ) 81 g ( a ) ^{2} + 8}{2}, x = \frac{81 g ( a ) ^{2} - 9 g ( a ) 81 g ( a ) ^{2} + 8}{2}

x = \frac{81 g ( a ) ^{2} + 9 g ( a ) 81 g ( a ) ^{2} + 8}{2}, x = \frac{81 g ( a ) ^{2} - 9 g ( a ) 81 g ( a ) ^{2} + 8}{2}