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Beliebt Algebra >

2x^3-15x^2+27x-10=0

Lösung

2 x^{3} - 15 x^{2} + 27 x - 10 = 0

Lösung

x = 2, x = \frac{1}{2}, x = 5

+1

Dezimale

x = 2, x = 0.5, x = 5

Schritte zur Lösung

2 x^{3} - 15 x^{2} + 27 x - 10 = 0

Faktorisiere

2 x^{3} - 15 x^{2} + 27 x - 10 : (x - 2) (2 x - 1) (x - 5)

(x - 2) (2 x - 1) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or 2 x - 1 = 0 or x - 5 = 0

Löse

x - 2 = 0 : x = 2

Löse

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

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = 2, x = \frac{1}{2}, x = 5

Graph

Beliebte Beispiele

(7-y^2)^3=(10-y^3)^2

(7 - y^{2})^{3} = (10 - y^{3})^{2}

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

(2 x + 7)^{3} + 31 = 4

(5 x)^{3} = ln (1)

-1-((3x-7)/9)^3=7

- 1 - (\frac{3 x - 7}{9})^{3} = 7