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Beliebt Algebra >

d^4-45d^2+164=0

Lösung

d^{4} - 45 d^{2} + 164 = 0

Lösung

d = 41, d = - 41, d = 2, d = - 2

+1

Dezimale

d = 6.40312 \dots, d = - 6.40312 \dots, d = 2, d = - 2

Schritte zur Lösung

d^{4} - 45 d^{2} + 164 = 0

Schreibe die Gleichung um mit

u = d^{2}

und

u^{2} = d^{4}

u^{2} - 45 u + 164 = 0

Löse

u^{2} - 45 u + 164 = 0 : u = 41, u = 4

u = 41, u = 4

Setze

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

löse für

d

Löse

d^{2} = 41 : d = 41, d = - 41

Löse

d^{2} = 4 : d = 2, d = - 2

Die Lösungen sind

d = 41, d = - 41, d = 2, d = - 2

Graph

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