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Beliebt Algebra >

2x^3-7x^2+9=0

Lösung

2 x^{3} - 7 x^{2} + 9 = 0

Lösung

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

+1

Dezimale

x = - 1, x = 1.5, x = 3

Schritte zur Lösung

2 x^{3} - 7 x^{2} + 9 = 0

Faktorisiere

2 x^{3} - 7 x^{2} + 9 : (x + 1) (2 x - 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^4-6x^3+11x^2-46x+170=0

x^{4} - 6 x^{3} + 11 x^{2} - 46 x + 170 = 0

x^6-9x^2-8x^4=0

x^{6} - 9 x^{2} - 8 x^{4} = 0

2 x^{3} - 50 x = 0

solvefor a,54=a^4

so l v e f or a, 54 = a^{4}

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

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