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Beliebt Algebra >

2x^3-7x^2-6x+8=0

Lösung

2 x^{3} - 7 x^{2} - 6 x + 8 = 0

Lösung

x = 4, x = \frac{- 1 + 17}{4}, x = \frac{- 1 - 17}{4}

+1

Dezimale

x = 4, x = 0.78077 \dots, x = - 1.28077 \dots

Schritte zur Lösung

2 x^{3} - 7 x^{2} - 6 x + 8 = 0

Faktorisiere

2 x^{3} - 7 x^{2} - 6 x + 8 : (x - 4) (2 x^{2} + x - 2)

(x - 4) (2 x^{2} + x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 4 = 0 or 2 x^{2} + x - 2 = 0

Löse

x - 4 = 0 : x = 4

Löse

2 x^{2} + x - 2 = 0 : x = \frac{- 1 + 17}{4}, x = \frac{- 1 - 17}{4}

Die Lösungen sind

x = 4, x = \frac{- 1 + 17}{4}, x = \frac{- 1 - 17}{4}

Graph

Beliebte Beispiele

solvefor x,x^4-6x^2+12=7

so l v e f or x, x^{4} - 6 x^{2} + 12 = 7

25x^4-61x^2+36=0

25 x^{4} - 61 x^{2} + 36 = 0

solvefor y=x^3,x

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

x^{3} = 50

2640.57=7.37E-9x^4+7x

2640.57 = 7.37 E - 9 x^{4} + 7 x