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Beliebt Algebra >

(x^2-6)^2-3(x^2-6)-4=0

Lösung

(x^{2} - 6)^{2} - 3 (x^{2} - 6) - 4 = 0

Lösung

x = 10, x = - 10, x = 5, x = - 5

+1

Dezimale

x = 3.16227 \dots, x = - 3.16227 \dots, x = 2.23606 \dots, x = - 2.23606 \dots

Schritte zur Lösung

(x^{2} - 6)^{2} - 3 (x^{2} - 6) - 4 = 0

Schreibe

(x^{2} - 6)^{2} - 3 (x^{2} - 6) - 4

um:

x^{4} - 15 x^{2} + 50

x^{4} - 15 x^{2} + 50 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 15 u + 50 = 0

Löse

u^{2} - 15 u + 50 = 0 : u = 10, u = 5

u = 10, u = 5

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} = 5 : x = 5, x = - 5

Die Lösungen sind

x = 10, x = - 10, x = 5, x = - 5

Graph

Beliebte Beispiele

6z^4-25z^3+32z^2+3z-10=0

6 z^{4} - 25 z^{3} + 32 z^{2} + 3 z - 10 = 0

x^{3} 4 x^{2} + 5 x + 5 = 0

512 = x^{3}

z^{4} + i z^{2} + 2 = 0

8x^3-52x^2+78x-27=0

8 x^{3} - 52 x^{2} + 78 x - 27 = 0