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Beliebt Algebra >

x^3+4x^2-10x-40=0

Lösung

x^{3} + 4 x^{2} - 10 x - 40 = 0

Lösung

x = - 4, x = - 10, x = 10

+1

Dezimale

x = - 4, x = - 3.16227 \dots, x = 3.16227 \dots

Schritte zur Lösung

x^{3} + 4 x^{2} - 10 x - 40 = 0

Faktorisiere

x^{3} + 4 x^{2} - 10 x - 40 : (x + 4) (x + 10) (x - 10)

(x + 4) (x + 10) (x - 10) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 4 = 0 or x + 10 = 0 or x - 10 = 0

Löse

x + 4 = 0 : x = - 4

Löse

x + 10 = 0 : x = - 10

Löse

x - 10 = 0 : x = 10

Die Lösungen sind

x = - 4, x = - 10, x = 10

Graph

Beliebte Beispiele

2x^3+10x^2+4x=-8x

2 x^{3} + 10 x^{2} + 4 x = - 8 x

solvefor x,x^3-3x^2+x=0

so l v e f or x, x^{3} - 3 x^{2} + x = 0

2.5x^3+6.7x^2+4.9x-0.5=0

2.5 x^{3} + 6.7 x^{2} + 4.9 x - 0.5 = 0

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

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

y^5-16y^4+14y^3=0

y^{5} - 16 y^{4} + 14 y^{3} = 0