x-(2x+21)/(x^2-x+3)=5

Lösung

x - \frac{2 x + 21}{x ^{2} - x + 3} = 5

x = 6, x = 6 i, x = - 6 i

Schritte zur Lösung

x - \frac{2 x + 21}{x ^{2} - x + 3} = 5

Multipliziere beide Seiten mit

x^{2} - x + 3

x (x^{2} - x + 3) - (2 x + 21) = 5 (x^{2} - x + 3)

Löse

x (x^{2} - x + 3) - (2 x + 21) = 5 (x^{2} - x + 3) : x = 6, x = 6 i, x = - 6 i

x = 6, x = 6 i, x = - 6 i

\frac{5 x - 2}{x ^{2} + 4} = 1

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

1 + \frac{x}{x + 8} = - \frac{4}{x + 8}

\frac{25}{x} = \frac{x}{4}

\frac{7}{3 x + 4} = \frac{7}{6 x - 2}