(2x)/(x^2+9)=-2

Lösung

\frac{2 x}{x ^{2} + 9} = - 2

x = - \frac{1}{2} - i \frac{35}{2}, x = - \frac{1}{2} + i \frac{35}{2}

Schritte zur Lösung

\frac{2 x}{x ^{2} + 9} = - 2

Multipliziere beide Seiten mit

x^{2} + 9

2 x = - 2 (x^{2} + 9)

Löse

2 x = - 2 (x^{2} + 9) : x = - \frac{1}{2} - i \frac{35}{2}, x = - \frac{1}{2} + i \frac{35}{2}

x = - \frac{1}{2} - i \frac{35}{2}, x = - \frac{1}{2} + i \frac{35}{2}

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

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

\frac{3}{x} - \frac{2}{x - 1} = 6

9 - \frac{x}{x + 3} = - \frac{5}{x + 3}

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