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Beliebt Algebra >

(2x^2-5x+2)(2x+c)=0

Lösung

(2 x^{2} - 5 x + 2) (2 x + c) = 0

Lösung

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

Schritte zur Lösung

(2 x^{2} - 5 x + 2) (2 x + c) = 0

Faktorisiere

(2 x^{2} - 5 x + 2) (2 x + c) : (2 x - 1) (x - 2) (2 x + c)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x - 2 = 0 : x = 2

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{4} - 20 x + 64 = 0

a^{3} = 3 a

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

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

w^{4} - 3 w^{2} - 4 = 0

(2 x - 1)^{3} = 8