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Beliebt Algebra >

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

Lösung

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

Lösung

x = 2, x = - 2, x = 1, x = - 1

Schritte zur Lösung

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

Schreibe

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

um:

x^{4} - 5 x^{2} + 4

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

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 5 u + 4 = 0

Löse

u^{2} - 5 u + 4 = 0 : u = 4, u = 1

u = 4, u = 1

Setze

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

löse für

x

Löse

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

Löse

x^{2} = 1 : x = 1, x = - 1

Die Lösungen sind

x = 2, x = - 2, x = 1, x = - 1

Graph

Beliebte Beispiele

x^{3} = 900

w^7+2(4w-9)=-3(3w-1)+9w

w^{7} + 2 (4 w - 9) = - 3 (3 w - 1) + 9 w

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

(p^2-3)^2-7(p^2-3)+6=0

(p^{2} - 3)^{2} - 7 (p^{2} - 3) + 6 = 0

1200=360(1+x)^{10}

1200 = 360 (1 + x)^{10}