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Beliebt Algebra >

(x^2-1)(x^2-12)+24=0

Lösung

(x^{2} - 1) (x^{2} - 12) + 24 = 0

Lösung

x = 3, x = - 3, x = 2, x = - 2

Schritte zur Lösung

(x^{2} - 1) (x^{2} - 12) + 24 = 0

Schreibe

(x^{2} - 1) (x^{2} - 12) + 24

um:

x^{4} - 13 x^{2} + 36

x^{4} - 13 x^{2} + 36 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 13 u + 36 = 0

Löse

u^{2} - 13 u + 36 = 0 : u = 9, u = 4

u = 9, u = 4

Setze

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

löse für

x

Löse

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

Löse

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

Die Lösungen sind

x = 3, x = - 3, x = 2, x = - 2

Graph

Beliebte Beispiele

-(12x^5-8x^3)=25x^2

- (12 x^{5} - 8 x^{3}) = 25 x^{2}

solvefor a,a^3+b^3=c^3+d^3

so l v e f or a, a^{3} + b^{3} = c^{3} + d^{3}

-2x^3+2x^2+12x=0

- 2 x^{3} + 2 x^{2} + 12 x = 0

(x+1)^3=(x+1)^2

(x + 1)^{3} = (x + 1)^{2}

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