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Beliebt Algebra >

x^4-11x^2-12x+4=0

Lösung

x^{4} - 11 x^{2} - 12 x + 4 = 0

Lösung

x = - 2, x = 2 + 3, x = 2 - 3

+1

Dezimale

x = - 2, x = 3.73205 \dots, x = 0.26794 \dots

Schritte zur Lösung

x^{4} - 11 x^{2} - 12 x + 4 = 0

Faktorisiere

x^{4} - 11 x^{2} - 12 x + 4 : (x + 2)^{2} (x^{2} - 4 x + 1)

(x + 2)^{2} (x^{2} - 4 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x^{2} - 4 x + 1 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x^{2} - 4 x + 1 = 0 : x = 2 + 3, x = 2 - 3

Die Lösungen sind

x = - 2, x = 2 + 3, x = 2 - 3

Graph

Beliebte Beispiele

x^3-5x^2+25x-125=0

x^{3} - 5 x^{2} + 25 x - 125 = 0

8 x^{7} = 9 x^{8}

5(x-1)=5(x^5+2)

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

x^3+13x^2+57x+85=0

x^{3} + 13 x^{2} + 57 x + 85 = 0

w^{6} = - 27