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Beliebt Algebra >

x^3-3x^2-10x+30=0

Lösung

x^{3} - 3 x^{2} - 10 x + 30 = 0

Lösung

x = 3, x = - 10, x = 10

+1

Dezimale

x = 3, x = - 3.16227 \dots, x = 3.16227 \dots

Schritte zur Lösung

x^{3} - 3 x^{2} - 10 x + 30 = 0

Faktorisiere

x^{3} - 3 x^{2} - 10 x + 30 : (x - 3) (x + 10) (x - 10)

(x - 3) (x + 10) (x - 10) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or x + 10 = 0 or x - 10 = 0

Löse

x - 3 = 0 : x = 3

Löse

x + 10 = 0 : x = - 10

Löse

x - 10 = 0 : x = 10

Die Lösungen sind

x = 3, x = - 10, x = 10

Graph

Beliebte Beispiele

solvefor x,y^2+24=x^3

so l v e f or x, y^{2} + 24 = x^{3}

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

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

3 x^{3} - 3 = 0

(x - 1)^{4} = 16

x^4-2x^3-13x^2+38x-24=0

x^{4} - 2 x^{3} - 13 x^{2} + 38 x - 24 = 0