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Beliebt Algebra >

2x^3+3x^2-17x+12=0

Lösung

2 x^{3} + 3 x^{2} - 17 x + 12 = 0

Lösung

x = 1, x = \frac{3}{2}, x = - 4

+1

Dezimale

x = 1, x = 1.5, x = - 4

Schritte zur Lösung

2 x^{3} + 3 x^{2} - 17 x + 12 = 0

Faktorisiere

2 x^{3} + 3 x^{2} - 17 x + 12 : (x - 1) (2 x - 3) (x + 4)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 2 x - 3 = 0 or x + 4 = 0

Löse

x - 1 = 0 : x = 1

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

x + 4 = 0 : x = - 4

Die Lösungen sind

x = 1, x = \frac{3}{2}, x = - 4

Graph

Beliebte Beispiele

z^{4} - 49 = 0

0.000004x^3-400=0

0.000004 x^{3} - 400 = 0

2x(64x^2)-8x^2(8x)=1

2 x (64 x^{2}) - 8 x^{2} (8 x) = 1

x^{2} + 2 x^{8} = 0

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