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Beliebt Algebra >

x^4-8x^2-33=0

Lösung

x^{4} - 8 x^{2} - 33 = 0

Lösung

x = 11, x = - 11, x = 3 i, x = - 3 i

Schritte zur Lösung

x^{4} - 8 x^{2} - 33 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

u^{2} - 8 u - 33 = 0

Löse

u^{2} - 8 u - 33 = 0 : u = 11, u = - 3

u = 11, u = - 3

Setze

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

löse für

x

Löse

x^{2} = 11 : x = 11, x = - 11

Löse

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

Die Lösungen sind

x = 11, x = - 11, x = 3 i, x = - 3 i

Graph

Beliebte Beispiele

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

solvefor t,fd^2+3=t^3

so l v e f or t, f d^{2} + 3 = t^{3}

-λ^3+2λ^2+λ-2=0

- λ^{3} + 2 λ^{2} + λ - 2 = 0

9x^4+45x^2+14=0

9 x^{4} + 45 x^{2} + 14 = 0

x(x^3-x^2)-4x^2-x^1=0

x (x^{3} - x^{2}) - 4 x^{2} - x^{1} = 0