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Beliebt Algebra >

2-15x+9x^2-x^3=0

Lösung

2 - 15 x + 9 x^{2} - x^{3} = 0

Lösung

x = 2, x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

+1

Dezimale

x = 2, x = 6.85410 \dots, x = 0.14589 \dots

Schritte zur Lösung

2 - 15 x + 9 x^{2} - x^{3} = 0

Schreibe in der Standard Form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- x^{3} + 9 x^{2} - 15 x + 2 = 0

Faktorisiere

- x^{3} + 9 x^{2} - 15 x + 2 : - (x - 2) (x^{2} - 7 x + 1)

- (x - 2) (x^{2} - 7 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or x^{2} - 7 x + 1 = 0

Löse

x - 2 = 0 : x = 2

Löse

x^{2} - 7 x + 1 = 0 : x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

Die Lösungen sind

x = 2, x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

Graph

Beliebte Beispiele

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100 x^{3} - 45 x^{2} - 58 x + 24 = 0

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