(x+5)/(2x+3)=(1-2x)/(x+3)

Lösung

\frac{x + 5}{2 x + 3} = \frac{1 - 2 x}{x + 3}

x = - \frac{6}{5} + i \frac{2 6}{5}, x = - \frac{6}{5} - i \frac{2 6}{5}

Schritte zur Lösung

\frac{x + 5}{2 x + 3} = \frac{1 - 2 x}{x + 3}

Kreuzmultiplizieren

(x + 5) (x + 3) = (2 x + 3) (1 - 2 x)

Löse

(x + 5) (x + 3) = (2 x + 3) (1 - 2 x) : x = - \frac{6}{5} + i \frac{2 6}{5}, x = - \frac{6}{5} - i \frac{2 6}{5}

x = - \frac{6}{5} + i \frac{2 6}{5}, x = - \frac{6}{5} - i \frac{2 6}{5}

\frac{x - 8}{x + 2} = \frac{x - 1}{2 x + 10}

\frac{x}{2 x - 1} - \frac{6}{4 - x} = 3

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

\frac{6}{x ^{2}} = 0

\frac{6}{x + 2} = \frac{2}{5}