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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 3, x = - 0.70710 \dots, x = 0.70710 \dots

Schritte zur Lösung

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

Faktorisiere

4 x^{3} - 12 x^{2} - 2 x + 6 : 2 (x - 3) (2 x + 1) (2 x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Die Lösungen sind

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

Graph

Beliebte Beispiele

solvefor x,10x^9-9x^{10}=0.75

so l v e f or x, 10 x^{9} - 9 x^{10} = 0.75

- x^{3} + 8 x = 0

-x^4+7x^2-3x-19=0

- x^{4} + 7 x^{2} - 3 x - 19 = 0

5x^3+45x^2+70x=0

5 x^{3} + 45 x^{2} + 70 x = 0

(x + 4)^{3} = 0