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Beliebt Algebra >

x^3+7x^2-6=0

Lösung

x^{3} + 7 x^{2} - 6 = 0

Lösung

x = - 1, x = - 3 + 15, x = - 3 - 15

+1

Dezimale

x = - 1, x = 0.87298 \dots, x = - 6.87298 \dots

Schritte zur Lösung

x^{3} + 7 x^{2} - 6 = 0

Faktorisiere

x^{3} + 7 x^{2} - 6 : (x + 1) (x^{2} + 6 x - 6)

(x + 1) (x^{2} + 6 x - 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x^{2} + 6 x - 6 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x^{2} + 6 x - 6 = 0 : x = - 3 + 15, x = - 3 - 15

Die Lösungen sind

x = - 1, x = - 3 + 15, x = - 3 - 15

Graph

Beliebte Beispiele

(x+1)(x+2)(x+3)(x+4)-8=0

(x + 1) (x + 2) (x + 3) (x + 4) - 8 = 0

3 x^{3} = 375

(1-x)^4+(1+x)^4=82

(1 - x)^{4} + (1 + x)^{4} = 82

x^{4} + 5 x^{2} + 6 = 0

m^3+3m^2-2=3m^3

m^{3} + 3 m^{2} - 2 = 3 m^{3}