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Beliebt Algebra >

2a^4-11a^2+14=0

Lösung

2 a^{4} - 11 a^{2} + 14 = 0

Lösung

a = \frac{7}{2}, a = - \frac{7}{2}, a = 2, a = - 2

+1

Dezimale

a = 1.87082 \dots, a = - 1.87082 \dots, a = 1.41421 \dots, a = - 1.41421 \dots

Schritte zur Lösung

2 a^{4} - 11 a^{2} + 14 = 0

Schreibe die Gleichung um mit

u = a^{2}

und

u^{2} = a^{4}

2 u^{2} - 11 u + 14 = 0

Löse

2 u^{2} - 11 u + 14 = 0 : u = \frac{7}{2}, u = 2

u = \frac{7}{2}, u = 2

Setze

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

löse für

a

Löse

a^{2} = \frac{7}{2} : a = \frac{7}{2}, a = - \frac{7}{2}

Löse

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

Die Lösungen sind

a = \frac{7}{2}, a = - \frac{7}{2}, a = 2, a = - 2

Graph

Beliebte Beispiele

4 t - t^{3} = 0

x^4-x^3+1=x^4-2x^3+x+1

x^{4} - x^{3} + 1 = x^{4} - 2 x^{3} + x + 1

3 x^{2} - x^{3} - 4 = 0

-x^6-x^5+x^4+x^3=0

- x^{6} - x^{5} + x^{4} + x^{3} = 0

79.97x^3-27.43x-52.14=0

79.97 x^{3} - 27.43 x - 52.14 = 0