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Beliebt Algebra >

p(2p-5)^2-3(2p-5)=0

Lösung

p (2 p - 5)^{2} - 3 (2 p - 5) = 0

Lösung

p = 3, p = \frac{5}{2}, p = - \frac{1}{2}

+1

Dezimale

p = 3, p = 2.5, p = - 0.5

Schritte zur Lösung

p (2 p - 5)^{2} - 3 (2 p - 5) = 0

Faktorisiere

p (2 p - 5)^{2} - 3 (2 p - 5) : (p - 3) (2 p - 5) (2 p + 1)

(p - 3) (2 p - 5) (2 p + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

p - 3 = 0 or 2 p - 5 = 0 or 2 p + 1 = 0

Löse

p - 3 = 0 : p = 3

Löse

2 p - 5 = 0 : p = \frac{5}{2}

Löse

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

Die Lösungen sind

p = 3, p = \frac{5}{2}, p = - \frac{1}{2}

Graph

Beliebte Beispiele

x^3-6x^2-15x+40=0

x^{3} - 6 x^{2} - 15 x + 40 = 0

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(12 x - 1) (6 x - 1) (4 x - 1) (3 x - 1) = 5

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

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

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