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Beliebt Algebra >

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

Lösung

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

Lösung

x = 11, x = - 11, x = 1, x = - 1

+1

Dezimale

x = 3.31662 \dots, x = - 3.31662 \dots, x = 1, x = - 1

Schritte zur Lösung

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

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 12 u + 11 = 0

Löse

u^{2} - 12 u + 11 = 0 : u = 11, u = 1

u = 11, u = 1

Setze

u = x^{2} w i e d er e in,

löse für

x

Löse

x^{2} = 11 : x = 11, x = - 11

Löse

x^{2} = 1 : x = 1, x = - 1

Die Lösungen sind

x = 11, x = - 11, x = 1, x = - 1

Graph

Beliebte Beispiele

2 x (x - 5) (x + 8) = 0

x^{3} + x - 3 = 0

(a^{3})^{3} = a^{6}

x^{3} + x - 4 = 0

r^{3} = 27