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Beliebt Algebra >

x^3-7x^2+8x+10=0

Lösung

x^{3} - 7 x^{2} + 8 x + 10 = 0

Lösung

x = 5, x = 1 + 3, x = 1 - 3

+1

Dezimale

x = 5, x = 2.73205 \dots, x = - 0.73205 \dots

Schritte zur Lösung

x^{3} - 7 x^{2} + 8 x + 10 = 0

Faktorisiere

x^{3} - 7 x^{2} + 8 x + 10 : (x - 5) (x^{2} - 2 x - 2)

(x - 5) (x^{2} - 2 x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 5 = 0 or x^{2} - 2 x - 2 = 0

Löse

x - 5 = 0 : x = 5

Löse

x^{2} - 2 x - 2 = 0 : x = 1 + 3, x = 1 - 3

Die Lösungen sind

x = 5, x = 1 + 3, x = 1 - 3

Graph

Beliebte Beispiele

x^{4} - 8 x^{9} - 9 = 0

(m^2+1)^3(m^2+m+1)^2=0

(m^{2} + 1)^{3} (m^{2} + m + 1)^{2} = 0

x^{3} + x = - 1

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

2x^3x^3x^2=6144

2 x^{3} x^{3} x^{2} = 6144