x^2+1/(x^2)=1

Lösung

x^{2} + \frac{1}{x ^{2}} = 1

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

Schritte zur Lösung

x^{2} + \frac{1}{x ^{2}} = 1

Multipliziere beide Seiten mit

x^{2}

x^{4} + 1 = x^{2}

Löse

x^{4} + 1 = x^{2} : x = \frac{3}{2} + \frac{1}{2} i, x = - \frac{3}{2} - \frac{1}{2} i, x = \frac{3}{2} - \frac{1}{2} i, x = - \frac{3}{2} + \frac{1}{2} i

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

so l v e f or b, 2 = Q + \frac{f}{b}

\frac{8}{x} - 7 = 17

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

so l v e f or y, x = \frac{y + 2}{2 y + 1}

\frac{1}{x + 2} + 4 = \frac{13}{x + 2}