0=x^5-2.2x^4-6.61x^3+8.602x^2

Lösung

0 = x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2}

x = 0, x = \frac{17}{5}, x = \frac{11}{10}, x = - \frac{23}{10}

Dezimale

x = 0, x = 3.4, x = 1.1, x = - 2.3

Schritte zur Lösung

0 = x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2}

Tausche die Seiten

x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2} = 0

Faktorisiere

x^{5} - 2.2 x^{4} - 6.61 x^{3} + 8.602 x^{2} : x^{2} (x^{3} - 2.2 x^{2} - 6.61 x + 8.602)

x^{2} (x^{3} - 2.2 x^{2} - 6.61 x + 8.602) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{3} - 2.2 x^{2} - 6.61 x + 8.602 = 0

Löse

x^{3} - 2.2 x^{2} - 6.61 x + 8.602 = 0 : x = \frac{17}{5}, x = \frac{11}{10}, x = - \frac{23}{10}

Die Lösungen sind

x = 0, x = \frac{17}{5}, x = \frac{11}{10}, x = - \frac{23}{10}

x^{6} - 5 x^{3} + 6 = 0

x^{3} - 5 x^{2} + 2 x + 12 = 0

roo t s x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

3 x^{3} + 7 x^{2} + 147 x + 343 = 0

z^{3} + 125 = 0