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Beliebt Algebra >

r^3-r^2-3r-1=0

Lösung

r^{3} - r^{2} - 3 r - 1 = 0

Lösung

r = - 1, r = 1 + 2, r = 1 - 2

+1

Dezimale

r = - 1, r = 2.41421 \dots, r = - 0.41421 \dots

Schritte zur Lösung

r^{3} - r^{2} - 3 r - 1 = 0

Faktorisiere

r^{3} - r^{2} - 3 r - 1 : (r + 1) (r^{2} - 2 r - 1)

(r + 1) (r^{2} - 2 r - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

r + 1 = 0 or r^{2} - 2 r - 1 = 0

Löse

r + 1 = 0 : r = - 1

Löse

r^{2} - 2 r - 1 = 0 : r = 1 + 2, r = 1 - 2

Die Lösungen sind

r = - 1, r = 1 + 2, r = 1 - 2

Graph

Beliebte Beispiele

solvefor a,a^4+b^4=1

so l v e f or a, a^{4} + b^{4} = 1

solvefor a,a^4+b^4=0

so l v e f or a, a^{4} + b^{4} = 0

x^{4} - 625 = 0

x^{4} - x - 1 = 0

solvefor w,z=w^3

so l v e f or w, z = w^{3}