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Beliebt Algebra >

x^3-4x^2-9x+12=0

Lösung

x^{3} - 4 x^{2} - 9 x + 12 = 0

Lösung

x = 1, x = \frac{3 + 57}{2}, x = \frac{3 - 57}{2}

+1

Dezimale

x = 1, x = 5.27491 \dots, x = - 2.27491 \dots

Schritte zur Lösung

x^{3} - 4 x^{2} - 9 x + 12 = 0

Faktorisiere

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

(x - 1) (x^{2} - 3 x - 12) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x^{2} - 3 x - 12 = 0

Löse

x - 1 = 0 : x = 1

Löse

x^{2} - 3 x - 12 = 0 : x = \frac{3 + 57}{2}, x = \frac{3 - 57}{2}

Die Lösungen sind

x = 1, x = \frac{3 + 57}{2}, x = \frac{3 - 57}{2}

Graph

Beliebte Beispiele

x^3+5x^2-16x-80=0

x^{3} + 5 x^{2} - 16 x - 80 = 0

6 x^{8} + 6 = 13 x^{4}

x^{3} - 7 x + 4 = 0

solvefor y,x=y^3-6

so l v e f or y, x = y^{3} - 6

x^3-6x^2+13x-12=0

x^{3} - 6 x^{2} + 13 x - 12 = 0