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Beliebt Algebra >

x^3+x^2-13x-21=0

Lösung

x^{3} + x^{2} - 13 x - 21 = 0

Lösung

x = - 3, x = 1 + 22, x = 1 - 22

+1

Dezimale

x = - 3, x = 3.82842 \dots, x = - 1.82842 \dots

Schritte zur Lösung

x^{3} + x^{2} - 13 x - 21 = 0

Faktorisiere

x^{3} + x^{2} - 13 x - 21 : (x + 3) (x^{2} - 2 x - 7)

(x + 3) (x^{2} - 2 x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 3 = 0 or x^{2} - 2 x - 7 = 0

Löse

x + 3 = 0 : x = - 3

Löse

x^{2} - 2 x - 7 = 0 : x = 1 + 22, x = 1 - 22

Die Lösungen sind

x = - 3, x = 1 + 22, x = 1 - 22

Graph

Beliebte Beispiele

35 x^{4} = x^{4}

x^{4} = 6 x^{2} - 5

x^{4} = 2

48x^3+40x^2-x-3=0

48 x^{3} + 40 x^{2} - x - 3 = 0

solvefor x,f(x^3)=x^2

so l v e f or x, f (x^{3}) = x^{2}