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Beliebt Algebra >

x^3-4x^2-6x+9=0

Lösung

x^{3} - 4 x^{2} - 6 x + 9 = 0

Lösung

x = 1, x = \frac{3 + 3 5}{2}, x = \frac{3 - 3 5}{2}

+1

Dezimale

x = 1, x = 4.85410 \dots, x = - 1.85410 \dots

Schritte zur Lösung

x^{3} - 4 x^{2} - 6 x + 9 = 0

Faktorisiere

x^{3} - 4 x^{2} - 6 x + 9 : (x - 1) (x^{2} - 3 x - 9)

(x - 1) (x^{2} - 3 x - 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x^{2} - 3 x - 9 = 0

Löse

x - 1 = 0 : x = 1

Löse

x^{2} - 3 x - 9 = 0 : x = \frac{3 + 3 5}{2}, x = \frac{3 - 3 5}{2}

Die Lösungen sind

x = 1, x = \frac{3 + 3 5}{2}, x = \frac{3 - 3 5}{2}

Graph

Beliebte Beispiele

5z^2-45=8z^3-72z

5 z^{2} - 45 = 8 z^{3} - 72 z

x^3-9x^2+36x-36=0

x^{3} - 9 x^{2} + 36 x - 36 = 0

3x^4+4x^3-6x^2-12x=0

3 x^{4} + 4 x^{3} - 6 x^{2} - 12 x = 0

16 z^{4} = 1

((a^2)/3)^2+(a)^2=50

(\frac{a ^{2}}{3})^{2} + (a)^{2} = 50