t/(t+1)=(t+1)/3

Lösung

\frac{t}{t + 1} = \frac{t + 1}{3}

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

Schritte zur Lösung

\frac{t}{t + 1} = \frac{t + 1}{3}

Kreuzmultiplizieren

t \cdot 3 = (t + 1)^{2}

Löse

t \cdot 3 = (t + 1)^{2} : t = \frac{1}{2} + i \frac{3}{2}, t = \frac{1}{2} - i \frac{3}{2}

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

so l v e f or y, x = \frac{y}{y - 2}

so l v e f or y, x = \frac{y}{y - 1}

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

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

\frac{20}{x} = \frac{15}{13.5}