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Beliebt Algebra >

2x^3-3x^2-9x+10=0

Lösung

2 x^{3} - 3 x^{2} - 9 x + 10 = 0

Lösung

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

+1

Dezimale

x = 1, x = - 2, x = 2.5

Schritte zur Lösung

2 x^{3} - 3 x^{2} - 9 x + 10 = 0

Faktorisiere

2 x^{3} - 3 x^{2} - 9 x + 10 : (x - 1) (x + 2) (2 x - 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

x + 2 = 0 : x = - 2

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

solvefor x,y=27x^3

so l v e f or x, y = 27 x^{3}

4 x^{3} - 2 x - 1 = 0

x^{3} - 2 x^{2} + x + 1 = 0

-x^3+5x^2-7x+3=0

- x^{3} + 5 x^{2} - 7 x + 3 = 0

3x^2(x^2-5)=5-x^2

3 x^{2} (x^{2} - 5) = 5 - x^{2}