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Beliebt Algebra >

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

Lösung

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

Lösung

x = 6, x = - 6, x = 1, x = - 1

+1

Dezimale

x = 2.44948 \dots, x = - 2.44948 \dots, x = 1, x = - 1

Schritte zur Lösung

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

Schreibe

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

um:

x^{4} - 7 x^{2} + 6

x^{4} - 7 x^{2} + 6 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 7 u + 6 = 0

Löse

u^{2} - 7 u + 6 = 0 : u = 6, u = 1

u = 6, u = 1

Setze

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

löse für

x

Löse

x^{2} = 6 : x = 6, x = - 6

Löse

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

Die Lösungen sind

x = 6, x = - 6, x = 1, x = - 1

Graph

Beliebte Beispiele

solvefor x,y^2=Cx^4-2

so l v e f or x, y^{2} = C x^{4} - 2

20x^3+60x^2-80=0

20 x^{3} + 60 x^{2} - 80 = 0

x^{3} = 30

x^{3} = 32

- x (x + 1) (x - 7) = 0