x^4-9x^2+11x-2=0

Lösung

x^{4} - 9 x^{2} + 11 x - 2 = 0

x = 2, x \approx 0.22187 \dots, x \approx 1.28514 \dots, x \approx - 3.50701 \dots

Schritte zur Lösung

x^{4} - 9 x^{2} + 11 x - 2 = 0

Faktorisiere

x^{4} - 9 x^{2} + 11 x - 2 : (x - 2) (x^{3} + 2 x^{2} - 5 x + 1)

(x - 2) (x^{3} + 2 x^{2} - 5 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or x^{3} + 2 x^{2} - 5 x + 1 = 0

Löse

x - 2 = 0 : x = 2

Löse

x^{3} + 2 x^{2} - 5 x + 1 = 0 : x \approx 0.22187 \dots, x \approx 1.28514 \dots, x \approx - 3.50701 \dots

Die Lösungen sind

x = 2, x \approx 0.22187 \dots, x \approx 1.28514 \dots, x \approx - 3.50701 \dots

3 x^{3} - x - 2 = 0

b^{3} + 3.31 = 0.41

30 x^{3} + 5 x^{2} - 25 x = 0

so l v e f or x, V = 2 x^{3} - 3 y^{3}

x^{3} - 70 x^{2} - 7125 x + 118750 = 0