G(x)=(x^2+3x-5)/(x+6)

Lösung

G (x) = \frac{x ^{2} + 3 x - 5}{x + 6}

x = \frac{- 3 + 6 G + 36 G ^{2} - 56 G + 29}{2 ( 1 - G )}, x = \frac{- 3 + 6 G - 36 G ^{2} - 56 G + 29}{2 ( 1 - G )}; G \neq = 1

Schritte zur Lösung

G (x) = \frac{x ^{2} + 3 x - 5}{x + 6}

Multipliziere beide Seiten mit

x + 6

G x (x + 6) = x^{2} + 3 x - 5

Löse

G x (x + 6) = x^{2} + 3 x - 5 : x = \frac{- 3 + 6 G + 36 G ^{2} - 56 G + 29}{2 ( 1 - G )}, x = \frac{- 3 + 6 G - 36 G ^{2} - 56 G + 29}{2 ( 1 - G )}; G \neq = 1

x = \frac{- 3 + 6 G + 36 G ^{2} - 56 G + 29}{2 ( 1 - G )}, x = \frac{- 3 + 6 G - 36 G ^{2} - 56 G + 29}{2 ( 1 - G )}; G \neq = 1

\frac{7}{2 x} - \frac{5}{3 x} = \frac{22}{3}

1 + \frac{4}{x - 6} = - \frac{x}{x - 6}

\frac{1}{2} + \frac{2}{x} = \frac{3}{4}

\frac{7}{x} - \frac{5}{4} = \frac{x}{8}

2 - \frac{3}{x + 4} = \frac{x + 2}{x + 4}