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Beliebt Algebra >

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

Lösung

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

Lösung

x = 0, x = - 1 + 11, x = - 1 - 11

+1

Dezimale

x = 0, x = 2.31662 \dots, x = - 4.31662 \dots

Schritte zur Lösung

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

Faktorisiere

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

x (x^{2} + 2 x - 10) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 2 x - 10 = 0

Löse

x^{2} + 2 x - 10 = 0 : x = - 1 + 11, x = - 1 - 11

Die Lösungen sind

x = 0, x = - 1 + 11, x = - 1 - 11

Graph

Beliebte Beispiele

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

x^{3} - 45 x = 4 x^{2}

-x^4+x^2-4x-8=0

- x^{4} + x^{2} - 4 x - 8 = 0

(3 - x) x^{2} = 0

0=3x^3+8x^2-15x+4

0 = 3 x^{3} + 8 x^{2} - 15 x + 4