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Beliebt Algebra >

2a^4-15a^2+27=0

Lösung

2 a^{4} - 15 a^{2} + 27 = 0

Lösung

a = \frac{3}{2}, a = - \frac{3}{2}, a = 3, a = - 3

+1

Dezimale

a = 2.12132 \dots, a = - 2.12132 \dots, a = 1.73205 \dots, a = - 1.73205 \dots

Schritte zur Lösung

2 a^{4} - 15 a^{2} + 27 = 0

Schreibe die Gleichung um mit

u = a^{2}

und

u^{2} = a^{4}

2 u^{2} - 15 u + 27 = 0

Löse

2 u^{2} - 15 u + 27 = 0 : u = \frac{9}{2}, u = 3

u = \frac{9}{2}, u = 3

Setze

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

löse für

a

Löse

a^{2} = \frac{9}{2} : a = \frac{3}{2}, a = - \frac{3}{2}

Löse

a^{2} = 3 : a = 3, a = - 3

Die Lösungen sind

a = \frac{3}{2}, a = - \frac{3}{2}, a = 3, a = - 3

Graph

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