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Beliebt Algebra >

x^4-27x^2+176=0

Lösung

x^{4} - 27 x^{2} + 176 = 0

Lösung

x = 4, x = - 4, x = 11, x = - 11

+1

Dezimale

x = 4, x = - 4, x = 3.31662 \dots, x = - 3.31662 \dots

Schritte zur Lösung

x^{4} - 27 x^{2} + 176 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 27 u + 176 = 0

Löse

u^{2} - 27 u + 176 = 0 : u = 16, u = 11

u = 16, u = 11

Setze

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

löse für

x

Löse

x^{2} = 16 : x = 4, x = - 4

Löse

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

Die Lösungen sind

x = 4, x = - 4, x = 11, x = - 11

Graph

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