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Beliebt Algebra >

x^4-19x^2+90=0

Lösung

x^{4} - 19 x^{2} + 90 = 0

Lösung

x = 10, x = - 10, x = 3, x = - 3

+1

Dezimale

x = 3.16227 \dots, x = - 3.16227 \dots, x = 3, x = - 3

Schritte zur Lösung

x^{4} - 19 x^{2} + 90 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 19 u + 90 = 0

Löse

u^{2} - 19 u + 90 = 0 : u = 10, u = 9

u = 10, u = 9

Setze

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

löse für

x

Löse

x^{2} = 10 : x = 10, x = - 10

Löse

x^{2} = 9 : x = 3, x = - 3

Die Lösungen sind

x = 10, x = - 10, x = 3, x = - 3

Graph

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