1/x-1/(x-1)=3

Lösung

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

x = \frac{1}{2} + i \frac{3}{6}, x = \frac{1}{2} - i \frac{3}{6}

Schritte zur Lösung

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

Multipliziere mit dem kleinsten gemeinsamen Multiplikator

- 1 = 3 x (x - 1)

Löse

- 1 = 3 x (x - 1) : x = \frac{1}{2} + i \frac{3}{6}, x = \frac{1}{2} - i \frac{3}{6}

x = \frac{1}{2} + i \frac{3}{6}, x = \frac{1}{2} - i \frac{3}{6}

\frac{2}{x} = \frac{9}{x - 3}

\frac{2 π}{x} = 4

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

\frac{2}{3 x + 15} = 17

\frac{3}{b + 1} = 5