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Beliebt Algebra >

x^4-7x^2+12=0

Lösung

x^{4} - 7 x^{2} + 12 = 0

Lösung

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

+1

Dezimale

x = 2, x = - 2, x = 1.73205 \dots, x = - 1.73205 \dots

Schritte zur Lösung

x^{4} - 7 x^{2} + 12 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 7 u + 12 = 0

Löse

u^{2} - 7 u + 12 = 0 : u = 4, u = 3

u = 4, u = 3

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} = 3 : x = 3, x = - 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

(x^2+5)(x-1)-(x^2+5)(2x+3)=0

(x^{2} + 5) (x - 1) - (x^{2} + 5) (2 x + 3) = 0

(5x+3)^{28}= 16/7

(5 x + 3)^{28} = \frac{16}{7}

- x^{3} + 27 x - 54 x = 0

(x-2)^6+(x-4)^6=64

(x - 2)^{6} + (x - 4)^{6} = 64

solvefor x,f(x)^4+f(-x)^4=x^{2000}

so l v e f or x, f (x)^{4} + f (- x)^{4} = x^{2000}