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Beliebt Algebra >

ax^3-2x^2-3x=0

Lösung

a x^{3} - 2 x^{2} - 3 x = 0

Lösung

x = 0, x = \frac{1 + 3 a + 1}{a}, x = \frac{1 - 3 a + 1}{a}; a \neq = 0

Schritte zur Lösung

a x^{3} - 2 x^{2} - 3 x = 0

Faktorisiere

a x^{3} - 2 x^{2} - 3 x : x (- 2 x + a x^{2} - 3)

x (- 2 x + a x^{2} - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or - 2 x + a x^{2} - 3 = 0

Löse

- 2 x + a x^{2} - 3 = 0 : x = \frac{1 + 3 a + 1}{a}, x = \frac{1 - 3 a + 1}{a}; a \neq = 0

Die Lösungen sind

x = 0, x = \frac{1 + 3 a + 1}{a}, x = \frac{1 - 3 a + 1}{a}; a \neq = 0

Graph

Beliebte Beispiele

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

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

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

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

x^3+x^2+16x+16=0

x^{3} + x^{2} + 16 x + 16 = 0

x^4+2x^3-13x^2-14x+24=0

x^{4} + 2 x^{3} - 13 x^{2} - 14 x + 24 = 0

solvefor x,x^4-1=0

so l v e f or x, x^{4} - 1 = 0