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

Lösung

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}

Schritte zur Lösung

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

Multipliziere beide Seiten mit

x + 2

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

Vereinfache

9 g (a) x + 2 = x

Quadriere beide Seiten:

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

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

Löse

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}

x = 81

x = 110 - x

(x^{2} - 27)^{\frac{1}{2}} = 3

x - 1 - 4 = 3

8 x - 5 = 1