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Beliebt Algebra >

2x^3-5x^2+4x-10=0

Lösung

2 x^{3} - 5 x^{2} + 4 x - 10 = 0

Lösung

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

Schritte zur Lösung

2 x^{3} - 5 x^{2} + 4 x - 10 = 0

Faktorisiere

2 x^{3} - 5 x^{2} + 4 x - 10 : (2 x - 5) (x^{2} + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 5 = 0 or x^{2} + 2 = 0

Löse

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

Löse

x^{2} + 2 = 0 : x = 2 i, x = - 2 i

Die Lösungen sind

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

Graph

Beliebte Beispiele

-120+79x-16x^2+x^3=0

- 120 + 79 x - 16 x^{2} + x^{3} = 0

2 \cdot (x^{3}) - x = 0.5

(x)=5x^5-3x^3+4x+5

(x) = 5 x^{5} - 3 x^{3} + 4 x + 5

solvefor x,x^4-18x^2+81=0

so l v e f or x, x^{4} - 18 x^{2} + 81 = 0

2x^3+3x^2+3+2x=0

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