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Beliebt Algebra >

x^4-9x^2-12x-4=0

Lösung

x^{4} - 9 x^{2} - 12 x - 4 = 0

Lösung

x = - 1, x = - 2, x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

+1

Dezimale

x = - 1, x = - 2, x = 3.56155 \dots, x = - 0.56155 \dots

Schritte zur Lösung

x^{4} - 9 x^{2} - 12 x - 4 = 0

Faktorisiere

x^{4} - 9 x^{2} - 12 x - 4 : (x + 1) (x + 2) (x^{2} - 3 x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x + 2 = 0 or x^{2} - 3 x - 2 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x + 2 = 0 : x = - 2

Löse

x^{2} - 3 x - 2 = 0 : x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

Die Lösungen sind

x = - 1, x = - 2, x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

Graph

Beliebte Beispiele

x^{6} - 28 x + 27 = 0

x^{4} - 16 x^{2} + 63 = 0

x^{3} - 15 x + 1 = 0

solvefor x,x^3+y^5=4

so l v e f or x, x^{3} + y^{5} = 4

x^3+3x^2-2x-5=0

x^{3} + 3 x^{2} - 2 x - 5 = 0