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Beliebt Algebra >

x^3+2x^2-3x-6=0

Lösung

x^{3} + 2 x^{2} - 3 x - 6 = 0

Lösung

x = - 2, x = - 3, x = 3

+1

Dezimale

x = - 2, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

x^{3} + 2 x^{2} - 3 x - 6 = 0

Faktorisiere

x^{3} + 2 x^{2} - 3 x - 6 : (x + 2) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x + 3 = 0 or x - 3 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - 2, x = - 3, x = 3

Graph

Beliebte Beispiele

3x^4+4x^3-12x^2+8=0

3 x^{4} + 4 x^{3} - 12 x^{2} + 8 = 0

c^{4} = 3

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

so l v e f or x, x^{4} - 4 x^{2} + 3 = 0

4 x (x^{2} - 1) = 0

solvefor x,(7x^4+y)^3+c=m

so l v e f or x, (7 x^{4} + y)^{3} + c = m